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Finding the Fourth Proportional to 1,425.92, 2,138.40 and 560

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Solution

The fourth proportional to 1,425.92, 2,138.40 and 560 is: 839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.92 : 2,138.40 = 560 : x
  2. Step 2: Convert to fraction form
    1,425.92/2,138.40 = 560/x
  3. Step 3: Cross multiply
    1,425.92x = 2,138.40 × 560
  4. Step 4: Simplify right side
    1,425.92x = 1,197,504
  5. Step 5: Solve for x
    x = 1,197,504/1,425.92
  6. Step 6: Final answer
    x = 839.81

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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.