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Finding the Fourth Proportional to 568.42, 851.78 and 458.19

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Solution

The fourth proportional to 568.42, 851.78 and 458.19 is: 686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 851.78 = 458.19 : x
  2. Step 2: Convert to fraction form
    568.42/851.78 = 458.19/x
  3. Step 3: Cross multiply
    568.42x = 851.78 × 458.19
  4. Step 4: Simplify right side
    568.42x = 390,278.22
  5. Step 5: Solve for x
    x = 390,278.22/568.42
  6. Step 6: Final answer
    x = 686.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.