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Finding the Fourth Proportional to 546.08, 814.78 and 507.36

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Solution

The fourth proportional to 546.08, 814.78 and 507.36 is: 757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 814.78 = 507.36 : x
  2. Step 2: Convert to fraction form
    546.08/814.78 = 507.36/x
  3. Step 3: Cross multiply
    546.08x = 814.78 × 507.36
  4. Step 4: Simplify right side
    546.08x = 413,387.62
  5. Step 5: Solve for x
    x = 413,387.62/546.08
  6. Step 6: Final answer
    x = 757.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.