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Finding the Fourth Proportional to 588.60, 812.16 and 514.62

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Solution

The fourth proportional to 588.60, 812.16 and 514.62 is: 710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 812.16 = 514.62 : x
  2. Step 2: Convert to fraction form
    588.60/812.16 = 514.62/x
  3. Step 3: Cross multiply
    588.60x = 812.16 × 514.62
  4. Step 4: Simplify right side
    588.60x = 417,953.78
  5. Step 5: Solve for x
    x = 417,953.78/588.60
  6. Step 6: Final answer
    x = 710.08

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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.