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Finding the Fourth Proportional to 1,041.21, 1,436.85 and 575.46

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Solution

The fourth proportional to 1,041.21, 1,436.85 and 575.46 is: 794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.21 : 1,436.85 = 575.46 : x
  2. Step 2: Convert to fraction form
    1,041.21/1,436.85 = 575.46/x
  3. Step 3: Cross multiply
    1,041.21x = 1,436.85 × 575.46
  4. Step 4: Simplify right side
    1,041.21x = 826,849.70
  5. Step 5: Solve for x
    x = 826,849.70/1,041.21
  6. Step 6: Final answer
    x = 794.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.