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Finding the Fourth Proportional to 1,544.40, 2,315.62 and 667.48

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Solution

The fourth proportional to 1,544.40, 2,315.62 and 667.48 is: 1,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.40 : 2,315.62 = 667.48 : x
  2. Step 2: Convert to fraction form
    1,544.40/2,315.62 = 667.48/x
  3. Step 3: Cross multiply
    1,544.40x = 2,315.62 × 667.48
  4. Step 4: Simplify right side
    1,544.40x = 1,545,630.04
  5. Step 5: Solve for x
    x = 1,545,630.04/1,544.40
  6. Step 6: Final answer
    x = 1,000.80

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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.