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Finding the Fourth Proportional to 568.52, 784.35 and 372.15

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Solution

The fourth proportional to 568.52, 784.35 and 372.15 is: 513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.52 : 784.35 = 372.15 : x
  2. Step 2: Convert to fraction form
    568.52/784.35 = 372.15/x
  3. Step 3: Cross multiply
    568.52x = 784.35 × 372.15
  4. Step 4: Simplify right side
    568.52x = 291,895.85
  5. Step 5: Solve for x
    x = 291,895.85/568.52
  6. Step 6: Final answer
    x = 513.44

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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.