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Finding the Fourth Proportional to 947.28, 1,419.76 and 688.18

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Solution

The fourth proportional to 947.28, 1,419.76 and 688.18 is: 1,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.28 : 1,419.76 = 688.18 : x
  2. Step 2: Convert to fraction form
    947.28/1,419.76 = 688.18/x
  3. Step 3: Cross multiply
    947.28x = 1,419.76 × 688.18
  4. Step 4: Simplify right side
    947.28x = 977,050.44
  5. Step 5: Solve for x
    x = 977,050.44/947.28
  6. Step 6: Final answer
    x = 1,031.43

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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.