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Finding the Fourth Proportional to 1,314.70, 1,972.15 and 766.93

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Solution

The fourth proportional to 1,314.70, 1,972.15 and 766.93 is: 1,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.70 : 1,972.15 = 766.93 : x
  2. Step 2: Convert to fraction form
    1,314.70/1,972.15 = 766.93/x
  3. Step 3: Cross multiply
    1,314.70x = 1,972.15 × 766.93
  4. Step 4: Simplify right side
    1,314.70x = 1,512,504.01
  5. Step 5: Solve for x
    x = 1,512,504.01/1,314.70
  6. Step 6: Final answer
    x = 1,150.46

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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.