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Finding the Fourth Proportional to 757.74, 1,045.57 and 442.92

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Solution

The fourth proportional to 757.74, 1,045.57 and 442.92 is: 611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.74 : 1,045.57 = 442.92 : x
  2. Step 2: Convert to fraction form
    757.74/1,045.57 = 442.92/x
  3. Step 3: Cross multiply
    757.74x = 1,045.57 × 442.92
  4. Step 4: Simplify right side
    757.74x = 463,103.86
  5. Step 5: Solve for x
    x = 463,103.86/757.74
  6. Step 6: Final answer
    x = 611.16

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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.