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Finding the Fourth Proportional to 568.42, 784.52 and 402.64

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Solution

The fourth proportional to 568.42, 784.52 and 402.64 is: 555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 784.52 = 402.64 : x
  2. Step 2: Convert to fraction form
    568.42/784.52 = 402.64/x
  3. Step 3: Cross multiply
    568.42x = 784.52 × 402.64
  4. Step 4: Simplify right side
    568.42x = 315,876.67
  5. Step 5: Solve for x
    x = 315,876.67/568.42
  6. Step 6: Final answer
    x = 555.71

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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.