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Finding the Fourth Proportional to 947.68, 1,308.40 and 616.64

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Solution

The fourth proportional to 947.68, 1,308.40 and 616.64 is: 851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.68 : 1,308.40 = 616.64 : x
  2. Step 2: Convert to fraction form
    947.68/1,308.40 = 616.64/x
  3. Step 3: Cross multiply
    947.68x = 1,308.40 × 616.64
  4. Step 4: Simplify right side
    947.68x = 806,811.78
  5. Step 5: Solve for x
    x = 806,811.78/947.68
  6. Step 6: Final answer
    x = 851.35

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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.