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Finding the Fourth Proportional to 1,022.40, 1,532.40 and 372.72

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Solution

The fourth proportional to 1,022.40, 1,532.40 and 372.72 is: 558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.40 : 1,532.40 = 372.72 : x
  2. Step 2: Convert to fraction form
    1,022.40/1,532.40 = 372.72/x
  3. Step 3: Cross multiply
    1,022.40x = 1,532.40 × 372.72
  4. Step 4: Simplify right side
    1,022.40x = 571,156.13
  5. Step 5: Solve for x
    x = 571,156.13/1,022.40
  6. Step 6: Final answer
    x = 558.64

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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.