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Finding the Fourth Proportional to 1,254.13, 1,730.21 and 781.75

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Solution

The fourth proportional to 1,254.13, 1,730.21 and 781.75 is: 1,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.13 : 1,730.21 = 781.75 : x
  2. Step 2: Convert to fraction form
    1,254.13/1,730.21 = 781.75/x
  3. Step 3: Cross multiply
    1,254.13x = 1,730.21 × 781.75
  4. Step 4: Simplify right side
    1,254.13x = 1,352,587.76
  5. Step 5: Solve for x
    x = 1,352,587.76/1,254.13
  6. Step 6: Final answer
    x = 1,078.51

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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.