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Finding the Fourth Proportional to 1,175.96, 1,623.12 and 826.76

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Solution

The fourth proportional to 1,175.96, 1,623.12 and 826.76 is: 1,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.96 : 1,623.12 = 826.76 : x
  2. Step 2: Convert to fraction form
    1,175.96/1,623.12 = 826.76/x
  3. Step 3: Cross multiply
    1,175.96x = 1,623.12 × 826.76
  4. Step 4: Simplify right side
    1,175.96x = 1,341,930.69
  5. Step 5: Solve for x
    x = 1,341,930.69/1,175.96
  6. Step 6: Final answer
    x = 1,141.14

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Find fourth proportional to 587.98, 811.56 and 413.38
Half scale
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Double scale
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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.