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Finding the Fourth Proportional to 1,317.12, 1,976 and 451.20

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Solution

The fourth proportional to 1,317.12, 1,976 and 451.20 is: 676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.12 : 1,976 = 451.20 : x
  2. Step 2: Convert to fraction form
    1,317.12/1,976 = 451.20/x
  3. Step 3: Cross multiply
    1,317.12x = 1,976 × 451.20
  4. Step 4: Simplify right side
    1,317.12x = 891,571.20
  5. Step 5: Solve for x
    x = 891,571.20/1,317.12
  6. Step 6: Final answer
    x = 676.91

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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.