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Finding the Fourth Proportional to 716.42, 988.12 and 468.02

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Solution

The fourth proportional to 716.42, 988.12 and 468.02 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.42 : 988.12 = 468.02 : x
  2. Step 2: Convert to fraction form
    716.42/988.12 = 468.02/x
  3. Step 3: Cross multiply
    716.42x = 988.12 × 468.02
  4. Step 4: Simplify right side
    716.42x = 462,459.92
  5. Step 5: Solve for x
    x = 462,459.92/716.42
  6. Step 6: Final answer
    x = 645.52

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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.