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Finding the Fourth Proportional to 588.52, 812.10 and 478.12

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Solution

The fourth proportional to 588.52, 812.10 and 478.12 is: 659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 812.10 = 478.12 : x
  2. Step 2: Convert to fraction form
    588.52/812.10 = 478.12/x
  3. Step 3: Cross multiply
    588.52x = 812.10 × 478.12
  4. Step 4: Simplify right side
    588.52x = 388,281.25
  5. Step 5: Solve for x
    x = 388,281.25/588.52
  6. Step 6: Final answer
    x = 659.76

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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.