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Finding the Fourth Proportional to 1,112.99, 1,669.10 and 372.47

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Solution

The fourth proportional to 1,112.99, 1,669.10 and 372.47 is: 558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.99 : 1,669.10 = 372.47 : x
  2. Step 2: Convert to fraction form
    1,112.99/1,669.10 = 372.47/x
  3. Step 3: Cross multiply
    1,112.99x = 1,669.10 × 372.47
  4. Step 4: Simplify right side
    1,112.99x = 621,689.68
  5. Step 5: Solve for x
    x = 621,689.68/1,112.99
  6. Step 6: Final answer
    x = 558.58

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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.