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Finding the Fourth Proportional to 966.65, 1,446.50 and 837.10

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Solution

The fourth proportional to 966.65, 1,446.50 and 837.10 is: 1,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.65 : 1,446.50 = 837.10 : x
  2. Step 2: Convert to fraction form
    966.65/1,446.50 = 837.10/x
  3. Step 3: Cross multiply
    966.65x = 1,446.50 × 837.10
  4. Step 4: Simplify right side
    966.65x = 1,210,863.63
  5. Step 5: Solve for x
    x = 1,210,863.63/966.65
  6. Step 6: Final answer
    x = 1,252.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.