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Finding the Fourth Proportional to 1,084.77, 1,497.01 and 612.68

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Solution

The fourth proportional to 1,084.77, 1,497.01 and 612.68 is: 845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.77 : 1,497.01 = 612.68 : x
  2. Step 2: Convert to fraction form
    1,084.77/1,497.01 = 612.68/x
  3. Step 3: Cross multiply
    1,084.77x = 1,497.01 × 612.68
  4. Step 4: Simplify right side
    1,084.77x = 917,188.09
  5. Step 5: Solve for x
    x = 917,188.09/1,084.77
  6. Step 6: Final answer
    x = 845.52

Related Problems

Find fourth proportional to 542.38, 748.51 and 306.34
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.