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Finding the Fourth Proportional to 947.40, 1,306.98 and 663.81

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Solution

The fourth proportional to 947.40, 1,306.98 and 663.81 is: 915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.40 : 1,306.98 = 663.81 : x
  2. Step 2: Convert to fraction form
    947.40/1,306.98 = 663.81/x
  3. Step 3: Cross multiply
    947.40x = 1,306.98 × 663.81
  4. Step 4: Simplify right side
    947.40x = 867,586.39
  5. Step 5: Solve for x
    x = 867,586.39/947.40
  6. Step 6: Final answer
    x = 915.76

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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.