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Finding the Fourth Proportional to 546.72, 814.10 and 538.96

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Solution

The fourth proportional to 546.72, 814.10 and 538.96 is: 802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.72 : 814.10 = 538.96 : x
  2. Step 2: Convert to fraction form
    546.72/814.10 = 538.96/x
  3. Step 3: Cross multiply
    546.72x = 814.10 × 538.96
  4. Step 4: Simplify right side
    546.72x = 438,767.34
  5. Step 5: Solve for x
    x = 438,767.34/546.72
  6. Step 6: Final answer
    x = 802.54

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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.