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Finding the Fourth Proportional to 713.89, 983.64 and 517.06

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Solution

The fourth proportional to 713.89, 983.64 and 517.06 is: 712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.89 : 983.64 = 517.06 : x
  2. Step 2: Convert to fraction form
    713.89/983.64 = 517.06/x
  3. Step 3: Cross multiply
    713.89x = 983.64 × 517.06
  4. Step 4: Simplify right side
    713.89x = 508,600.90
  5. Step 5: Solve for x
    x = 508,600.90/713.89
  6. Step 6: Final answer
    x = 712.44

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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.