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Finding the Fourth Proportional to 947.04, 1,306.96 and 713.76

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Solution

The fourth proportional to 947.04, 1,306.96 and 713.76 is: 985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.04 : 1,306.96 = 713.76 : x
  2. Step 2: Convert to fraction form
    947.04/1,306.96 = 713.76/x
  3. Step 3: Cross multiply
    947.04x = 1,306.96 × 713.76
  4. Step 4: Simplify right side
    947.04x = 932,855.77
  5. Step 5: Solve for x
    x = 932,855.77/947.04
  6. Step 6: Final answer
    x = 985.02

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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.