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Finding the Fourth Proportional to 588.30, 812.31 and 463.74

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Solution

The fourth proportional to 588.30, 812.31 and 463.74 is: 640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 812.31 = 463.74 : x
  2. Step 2: Convert to fraction form
    588.30/812.31 = 463.74/x
  3. Step 3: Cross multiply
    588.30x = 812.31 × 463.74
  4. Step 4: Simplify right side
    588.30x = 376,700.64
  5. Step 5: Solve for x
    x = 376,700.64/588.30
  6. Step 6: Final answer
    x = 640.32

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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.