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Finding the Fourth Proportional to 947.31, 1,308.12 and 916.33

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Solution

The fourth proportional to 947.31, 1,308.12 and 916.33 is: 1,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.31 : 1,308.12 = 916.33 : x
  2. Step 2: Convert to fraction form
    947.31/1,308.12 = 916.33/x
  3. Step 3: Cross multiply
    947.31x = 1,308.12 × 916.33
  4. Step 4: Simplify right side
    947.31x = 1,198,658.48
  5. Step 5: Solve for x
    x = 1,198,658.48/947.31
  6. Step 6: Final answer
    x = 1,265.33

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1.5x scale

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.