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Finding the Fourth Proportional to 715.79, 1,072.20 and 568.76

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Solution

The fourth proportional to 715.79, 1,072.20 and 568.76 is: 851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.79 : 1,072.20 = 568.76 : x
  2. Step 2: Convert to fraction form
    715.79/1,072.20 = 568.76/x
  3. Step 3: Cross multiply
    715.79x = 1,072.20 × 568.76
  4. Step 4: Simplify right side
    715.79x = 609,824.47
  5. Step 5: Solve for x
    x = 609,824.47/715.79
  6. Step 6: Final answer
    x = 851.96

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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.