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Finding the Fourth Proportional to 568.68, 784.14 and 402.60

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Solution

The fourth proportional to 568.68, 784.14 and 402.60 is: 555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.68 : 784.14 = 402.60 : x
  2. Step 2: Convert to fraction form
    568.68/784.14 = 402.60/x
  3. Step 3: Cross multiply
    568.68x = 784.14 × 402.60
  4. Step 4: Simplify right side
    568.68x = 315,694.76
  5. Step 5: Solve for x
    x = 315,694.76/568.68
  6. Step 6: Final answer
    x = 555.14

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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.