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Finding the Fourth Proportional to 1,113.59, 1,669.82 and 372.94

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Solution

The fourth proportional to 1,113.59, 1,669.82 and 372.94 is: 559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.59 : 1,669.82 = 372.94 : x
  2. Step 2: Convert to fraction form
    1,113.59/1,669.82 = 372.94/x
  3. Step 3: Cross multiply
    1,113.59x = 1,669.82 × 372.94
  4. Step 4: Simplify right side
    1,113.59x = 622,740.81
  5. Step 5: Solve for x
    x = 622,740.81/1,113.59
  6. Step 6: Final answer
    x = 559.22

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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.