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Finding the Fourth Proportional to 588.30, 881.31 and 456.63

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Solution

The fourth proportional to 588.30, 881.31 and 456.63 is: 684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 881.31 = 456.63 : x
  2. Step 2: Convert to fraction form
    588.30/881.31 = 456.63/x
  3. Step 3: Cross multiply
    588.30x = 881.31 × 456.63
  4. Step 4: Simplify right side
    588.30x = 402,432.59
  5. Step 5: Solve for x
    x = 402,432.59/588.30
  6. Step 6: Final answer
    x = 684.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.