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Finding the Fourth Proportional to 1,142.64, 1,711.99 and 771.63

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Solution

The fourth proportional to 1,142.64, 1,711.99 and 771.63 is: 1,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.64 : 1,711.99 = 771.63 : x
  2. Step 2: Convert to fraction form
    1,142.64/1,711.99 = 771.63/x
  3. Step 3: Cross multiply
    1,142.64x = 1,711.99 × 771.63
  4. Step 4: Simplify right side
    1,142.64x = 1,321,023.81
  5. Step 5: Solve for x
    x = 1,321,023.81/1,142.64
  6. Step 6: Final answer
    x = 1,156.12

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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.