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Finding the Fourth Proportional to 1,240.24, 1,711.47 and 743.15

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Solution

The fourth proportional to 1,240.24, 1,711.47 and 743.15 is: 1,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.24 : 1,711.47 = 743.15 : x
  2. Step 2: Convert to fraction form
    1,240.24/1,711.47 = 743.15/x
  3. Step 3: Cross multiply
    1,240.24x = 1,711.47 × 743.15
  4. Step 4: Simplify right side
    1,240.24x = 1,271,883.21
  5. Step 5: Solve for x
    x = 1,271,883.21/1,240.24
  6. Step 6: Final answer
    x = 1,025.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.