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Finding the Fourth Proportional to 1,444.13, 1,992.79 and 814.76

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Solution

The fourth proportional to 1,444.13, 1,992.79 and 814.76 is: 1,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.13 : 1,992.79 = 814.76 : x
  2. Step 2: Convert to fraction form
    1,444.13/1,992.79 = 814.76/x
  3. Step 3: Cross multiply
    1,444.13x = 1,992.79 × 814.76
  4. Step 4: Simplify right side
    1,444.13x = 1,623,645.58
  5. Step 5: Solve for x
    x = 1,623,645.58/1,444.13
  6. Step 6: Final answer
    x = 1,124.31

Related Problems

Find fourth proportional to 722.07, 996.40 and 407.38
Half scale
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Double scale
Find fourth proportional to 1,445.13, 1,994.17 and 815.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.