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Finding the Fourth Proportional to 545.47, 752.57 and 312.55

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Solution

The fourth proportional to 545.47, 752.57 and 312.55 is: 431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.47 : 752.57 = 312.55 : x
  2. Step 2: Convert to fraction form
    545.47/752.57 = 312.55/x
  3. Step 3: Cross multiply
    545.47x = 752.57 × 312.55
  4. Step 4: Simplify right side
    545.47x = 235,211.99
  5. Step 5: Solve for x
    x = 235,211.99/545.47
  6. Step 6: Final answer
    x = 431.21

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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.