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Finding the Fourth Proportional to 716.69, 1,070.02 and 634.88

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Solution

The fourth proportional to 716.69, 1,070.02 and 634.88 is: 947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.69 : 1,070.02 = 634.88 : x
  2. Step 2: Convert to fraction form
    716.69/1,070.02 = 634.88/x
  3. Step 3: Cross multiply
    716.69x = 1,070.02 × 634.88
  4. Step 4: Simplify right side
    716.69x = 679,334.30
  5. Step 5: Solve for x
    x = 679,334.30/716.69
  6. Step 6: Final answer
    x = 947.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.