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Finding the Fourth Proportional to 546.47, 815.27 and 501.87

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Solution

The fourth proportional to 546.47, 815.27 and 501.87 is: 748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.47 : 815.27 = 501.87 : x
  2. Step 2: Convert to fraction form
    546.47/815.27 = 501.87/x
  3. Step 3: Cross multiply
    546.47x = 815.27 × 501.87
  4. Step 4: Simplify right side
    546.47x = 409,157.81
  5. Step 5: Solve for x
    x = 409,157.81/546.47
  6. Step 6: Final answer
    x = 748.73

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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.