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Finding the Fourth Proportional to 1,316.04, 1,972.17 and 966.63

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Solution

The fourth proportional to 1,316.04, 1,972.17 and 966.63 is: 1,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.04 : 1,972.17 = 966.63 : x
  2. Step 2: Convert to fraction form
    1,316.04/1,972.17 = 966.63/x
  3. Step 3: Cross multiply
    1,316.04x = 1,972.17 × 966.63
  4. Step 4: Simplify right side
    1,316.04x = 1,906,348.83
  5. Step 5: Solve for x
    x = 1,906,348.83/1,316.04
  6. Step 6: Final answer
    x = 1,448.55

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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.