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Finding the Fourth Proportional to 914.02, 1,260.52 and 781.74

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Solution

The fourth proportional to 914.02, 1,260.52 and 781.74 is: 1,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.02 : 1,260.52 = 781.74 : x
  2. Step 2: Convert to fraction form
    914.02/1,260.52 = 781.74/x
  3. Step 3: Cross multiply
    914.02x = 1,260.52 × 781.74
  4. Step 4: Simplify right side
    914.02x = 985,396.95
  5. Step 5: Solve for x
    x = 985,396.95/914.02
  6. Step 6: Final answer
    x = 1,078.09

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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.