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Finding the Fourth Proportional to 1,149.31, 1,575.00 and 1,038.59

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Solution

The fourth proportional to 1,149.31, 1,575.00 and 1,038.59 is: 1,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.31 : 1,575.00 = 1,038.59 : x
  2. Step 2: Convert to fraction form
    1,149.31/1,575.00 = 1,038.59/x
  3. Step 3: Cross multiply
    1,149.31x = 1,575.00 × 1,038.59
  4. Step 4: Simplify right side
    1,149.31x = 1,635,782.21
  5. Step 5: Solve for x
    x = 1,635,782.21/1,149.31
  6. Step 6: Final answer
    x = 1,423.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.