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Finding the Fourth Proportional to 1,317.89, 1,976.29 and 495.74

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Solution

The fourth proportional to 1,317.89, 1,976.29 and 495.74 is: 743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.89 : 1,976.29 = 495.74 : x
  2. Step 2: Convert to fraction form
    1,317.89/1,976.29 = 495.74/x
  3. Step 3: Cross multiply
    1,317.89x = 1,976.29 × 495.74
  4. Step 4: Simplify right side
    1,317.89x = 979,726.00
  5. Step 5: Solve for x
    x = 979,726.00/1,317.89
  6. Step 6: Final answer
    x = 743.40

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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.