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Finding the Fourth Proportional to 909.64, 1,252.20 and 688.24

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Solution

The fourth proportional to 909.64, 1,252.20 and 688.24 is: 947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.64 : 1,252.20 = 688.24 : x
  2. Step 2: Convert to fraction form
    909.64/1,252.20 = 688.24/x
  3. Step 3: Cross multiply
    909.64x = 1,252.20 × 688.24
  4. Step 4: Simplify right side
    909.64x = 861,814.13
  5. Step 5: Solve for x
    x = 861,814.13/909.64
  6. Step 6: Final answer
    x = 947.42

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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.