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Finding the Fourth Proportional to 588.08, 811.70 and 456.68

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Solution

The fourth proportional to 588.08, 811.70 and 456.68 is: 630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.08 : 811.70 = 456.68 : x
  2. Step 2: Convert to fraction form
    588.08/811.70 = 456.68/x
  3. Step 3: Cross multiply
    588.08x = 811.70 × 456.68
  4. Step 4: Simplify right side
    588.08x = 370,687.16
  5. Step 5: Solve for x
    x = 370,687.16/588.08
  6. Step 6: Final answer
    x = 630.33

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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.