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Finding the Fourth Proportional to 712.59, 1,068.89 and 347.28

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Solution

The fourth proportional to 712.59, 1,068.89 and 347.28 is: 520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.59 : 1,068.89 = 347.28 : x
  2. Step 2: Convert to fraction form
    712.59/1,068.89 = 347.28/x
  3. Step 3: Cross multiply
    712.59x = 1,068.89 × 347.28
  4. Step 4: Simplify right side
    712.59x = 371,202.38
  5. Step 5: Solve for x
    x = 371,202.38/712.59
  6. Step 6: Final answer
    x = 520.92

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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.