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Finding the Fourth Proportional to 716.39, 1,072.75 and 472.17

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Solution

The fourth proportional to 716.39, 1,072.75 and 472.17 is: 707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.39 : 1,072.75 = 472.17 : x
  2. Step 2: Convert to fraction form
    716.39/1,072.75 = 472.17/x
  3. Step 3: Cross multiply
    716.39x = 1,072.75 × 472.17
  4. Step 4: Simplify right side
    716.39x = 506,521.84
  5. Step 5: Solve for x
    x = 506,521.84/716.39
  6. Step 6: Final answer
    x = 707.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.