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Finding the Fourth Proportional to 545.47, 752.10 and 466.96

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Solution

The fourth proportional to 545.47, 752.10 and 466.96 is: 643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.47 : 752.10 = 466.96 : x
  2. Step 2: Convert to fraction form
    545.47/752.10 = 466.96/x
  3. Step 3: Cross multiply
    545.47x = 752.10 × 466.96
  4. Step 4: Simplify right side
    545.47x = 351,196.86
  5. Step 5: Solve for x
    x = 351,196.86/545.47
  6. Step 6: Final answer
    x = 643.84

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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.