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Finding the Fourth Proportional to 568.54, 784.85 and 428.71

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Solution

The fourth proportional to 568.54, 784.85 and 428.71 is: 591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.54 : 784.85 = 428.71 : x
  2. Step 2: Convert to fraction form
    568.54/784.85 = 428.71/x
  3. Step 3: Cross multiply
    568.54x = 784.85 × 428.71
  4. Step 4: Simplify right side
    568.54x = 336,472.86
  5. Step 5: Solve for x
    x = 336,472.86/568.54
  6. Step 6: Final answer
    x = 591.82

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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.