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Finding the Fourth Proportional to 734.57, 1,013.57 and 472.55

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Solution

The fourth proportional to 734.57, 1,013.57 and 472.55 is: 652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.57 : 1,013.57 = 472.55 : x
  2. Step 2: Convert to fraction form
    734.57/1,013.57 = 472.55/x
  3. Step 3: Cross multiply
    734.57x = 1,013.57 × 472.55
  4. Step 4: Simplify right side
    734.57x = 478,960.14
  5. Step 5: Solve for x
    x = 478,960.14/734.57
  6. Step 6: Final answer
    x = 652.03

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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.