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Finding the Fourth Proportional to 1,037.90, 1,557.26 and 452.57

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Solution

The fourth proportional to 1,037.90, 1,557.26 and 452.57 is: 679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.90 : 1,557.26 = 452.57 : x
  2. Step 2: Convert to fraction form
    1,037.90/1,557.26 = 452.57/x
  3. Step 3: Cross multiply
    1,037.90x = 1,557.26 × 452.57
  4. Step 4: Simplify right side
    1,037.90x = 704,759.11
  5. Step 5: Solve for x
    x = 704,759.11/1,037.90
  6. Step 6: Final answer
    x = 679.03

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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.