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Finding the Fourth Proportional to 1,042.64, 1,561.86 and 495.35

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Solution

The fourth proportional to 1,042.64, 1,561.86 and 495.35 is: 742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.64 : 1,561.86 = 495.35 : x
  2. Step 2: Convert to fraction form
    1,042.64/1,561.86 = 495.35/x
  3. Step 3: Cross multiply
    1,042.64x = 1,561.86 × 495.35
  4. Step 4: Simplify right side
    1,042.64x = 773,659.54
  5. Step 5: Solve for x
    x = 773,659.54/1,042.64
  6. Step 6: Final answer
    x = 742.02

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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.