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Finding the Fourth Proportional to 966.91, 1,437.92 and 936.15

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Solution

The fourth proportional to 966.91, 1,437.92 and 936.15 is: 1,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.91 : 1,437.92 = 936.15 : x
  2. Step 2: Convert to fraction form
    966.91/1,437.92 = 936.15/x
  3. Step 3: Cross multiply
    966.91x = 1,437.92 × 936.15
  4. Step 4: Simplify right side
    966.91x = 1,346,108.81
  5. Step 5: Solve for x
    x = 1,346,108.81/966.91
  6. Step 6: Final answer
    x = 1,392.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.