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Finding the Fourth Proportional to 547.70, 754.63 and 458.87

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Solution

The fourth proportional to 547.70, 754.63 and 458.87 is: 632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 754.63 = 458.87 : x
  2. Step 2: Convert to fraction form
    547.70/754.63 = 458.87/x
  3. Step 3: Cross multiply
    547.70x = 754.63 × 458.87
  4. Step 4: Simplify right side
    547.70x = 346,272.15
  5. Step 5: Solve for x
    x = 346,272.15/547.70
  6. Step 6: Final answer
    x = 632.24

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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.