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Finding the Fourth Proportional to 630.14, 869.10 and 588.23

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Solution

The fourth proportional to 630.14, 869.10 and 588.23 is: 811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.14 : 869.10 = 588.23 : x
  2. Step 2: Convert to fraction form
    630.14/869.10 = 588.23/x
  3. Step 3: Cross multiply
    630.14x = 869.10 × 588.23
  4. Step 4: Simplify right side
    630.14x = 511,226.35
  5. Step 5: Solve for x
    x = 511,226.35/630.14
  6. Step 6: Final answer
    x = 811.30

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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.