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Finding the Fourth Proportional to 543.01, 813.48 and 456.91

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Solution

The fourth proportional to 543.01, 813.48 and 456.91 is: 684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.01 : 813.48 = 456.91 : x
  2. Step 2: Convert to fraction form
    543.01/813.48 = 456.91/x
  3. Step 3: Cross multiply
    543.01x = 813.48 × 456.91
  4. Step 4: Simplify right side
    543.01x = 371,687.15
  5. Step 5: Solve for x
    x = 371,687.15/543.01
  6. Step 6: Final answer
    x = 684.49

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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.