Home / 1,317.07-1,974.27-495.10

Finding the Fourth Proportional to 1,317.07, 1,974.27 and 495.10

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Solution

The fourth proportional to 1,317.07, 1,974.27 and 495.10 is: 742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.07 : 1,974.27 = 495.10 : x
  2. Step 2: Convert to fraction form
    1,317.07/1,974.27 = 495.10/x
  3. Step 3: Cross multiply
    1,317.07x = 1,974.27 × 495.10
  4. Step 4: Simplify right side
    1,317.07x = 977,451.21
  5. Step 5: Solve for x
    x = 977,451.21/1,317.07
  6. Step 6: Final answer
    x = 742.14

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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.