Home / 1,497.18-2,245.92-457.20

Finding the Fourth Proportional to 1,497.18, 2,245.92 and 457.20

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Solution

The fourth proportional to 1,497.18, 2,245.92 and 457.20 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.18 : 2,245.92 = 457.20 : x
  2. Step 2: Convert to fraction form
    1,497.18/2,245.92 = 457.20/x
  3. Step 3: Cross multiply
    1,497.18x = 2,245.92 × 457.20
  4. Step 4: Simplify right side
    1,497.18x = 1,026,834.62
  5. Step 5: Solve for x
    x = 1,026,834.62/1,497.18
  6. Step 6: Final answer
    x = 685.85

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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.