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Finding the Fourth Proportional to 947.89, 1,309.35 and 729.58

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Solution

The fourth proportional to 947.89, 1,309.35 and 729.58 is: 1,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.89 : 1,309.35 = 729.58 : x
  2. Step 2: Convert to fraction form
    947.89/1,309.35 = 729.58/x
  3. Step 3: Cross multiply
    947.89x = 1,309.35 × 729.58
  4. Step 4: Simplify right side
    947.89x = 955,275.57
  5. Step 5: Solve for x
    x = 955,275.57/947.89
  6. Step 6: Final answer
    x = 1,007.79

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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.