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Finding the Fourth Proportional to 1,314.67, 1,972.00 and 766.46

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Solution

The fourth proportional to 1,314.67, 1,972.00 and 766.46 is: 1,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.67 : 1,972.00 = 766.46 : x
  2. Step 2: Convert to fraction form
    1,314.67/1,972.00 = 766.46/x
  3. Step 3: Cross multiply
    1,314.67x = 1,972.00 × 766.46
  4. Step 4: Simplify right side
    1,314.67x = 1,511,468.08
  5. Step 5: Solve for x
    x = 1,511,468.08/1,314.67
  6. Step 6: Final answer
    x = 1,149.70

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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.