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Finding the Fourth Proportional to 1,142.64, 1,711.53 and 778.14

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Solution

The fourth proportional to 1,142.64, 1,711.53 and 778.14 is: 1,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.64 : 1,711.53 = 778.14 : x
  2. Step 2: Convert to fraction form
    1,142.64/1,711.53 = 778.14/x
  3. Step 3: Cross multiply
    1,142.64x = 1,711.53 × 778.14
  4. Step 4: Simplify right side
    1,142.64x = 1,331,809.95
  5. Step 5: Solve for x
    x = 1,331,809.95/1,142.64
  6. Step 6: Final answer
    x = 1,165.56

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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.