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Finding the Fourth Proportional to 588.56, 811.72 and 478

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Solution

The fourth proportional to 588.56, 811.72 and 478 is: 659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.56 : 811.72 = 478 : x
  2. Step 2: Convert to fraction form
    588.56/811.72 = 478/x
  3. Step 3: Cross multiply
    588.56x = 811.72 × 478
  4. Step 4: Simplify right side
    588.56x = 388,002.16
  5. Step 5: Solve for x
    x = 388,002.16/588.56
  6. Step 6: Final answer
    x = 659.24

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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.