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Finding the Fourth Proportional to 757.03, 1,135.59 and 294.78

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Solution

The fourth proportional to 757.03, 1,135.59 and 294.78 is: 442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.03 : 1,135.59 = 294.78 : x
  2. Step 2: Convert to fraction form
    757.03/1,135.59 = 294.78/x
  3. Step 3: Cross multiply
    757.03x = 1,135.59 × 294.78
  4. Step 4: Simplify right side
    757.03x = 334,743.54
  5. Step 5: Solve for x
    x = 334,743.54/757.03
  6. Step 6: Final answer
    x = 442.18

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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.