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Finding the Fourth Proportional to 713.92, 982.88 and 610.24

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Solution

The fourth proportional to 713.92, 982.88 and 610.24 is: 840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.92 : 982.88 = 610.24 : x
  2. Step 2: Convert to fraction form
    713.92/982.88 = 610.24/x
  3. Step 3: Cross multiply
    713.92x = 982.88 × 610.24
  4. Step 4: Simplify right side
    713.92x = 599,792.69
  5. Step 5: Solve for x
    x = 599,792.69/713.92
  6. Step 6: Final answer
    x = 840.14

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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.