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Finding the Fourth Proportional to 1,041.16, 1,559.94 and 493.12

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Solution

The fourth proportional to 1,041.16, 1,559.94 and 493.12 is: 738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.16 : 1,559.94 = 493.12 : x
  2. Step 2: Convert to fraction form
    1,041.16/1,559.94 = 493.12/x
  3. Step 3: Cross multiply
    1,041.16x = 1,559.94 × 493.12
  4. Step 4: Simplify right side
    1,041.16x = 769,237.61
  5. Step 5: Solve for x
    x = 769,237.61/1,041.16
  6. Step 6: Final answer
    x = 738.83

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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.