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Finding the Fourth Proportional to 545.63, 752.52 and 353.93

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Solution

The fourth proportional to 545.63, 752.52 and 353.93 is: 488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.63 : 752.52 = 353.93 : x
  2. Step 2: Convert to fraction form
    545.63/752.52 = 353.93/x
  3. Step 3: Cross multiply
    545.63x = 752.52 × 353.93
  4. Step 4: Simplify right side
    545.63x = 266,336.97
  5. Step 5: Solve for x
    x = 266,336.97/545.63
  6. Step 6: Final answer
    x = 488.13

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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.