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Finding the Fourth Proportional to 713.68, 985.16 and 493.52

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Solution

The fourth proportional to 713.68, 985.16 and 493.52 is: 681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.68 : 985.16 = 493.52 : x
  2. Step 2: Convert to fraction form
    713.68/985.16 = 493.52/x
  3. Step 3: Cross multiply
    713.68x = 985.16 × 493.52
  4. Step 4: Simplify right side
    713.68x = 486,196.16
  5. Step 5: Solve for x
    x = 486,196.16/713.68
  6. Step 6: Final answer
    x = 681.25

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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.