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Finding the Fourth Proportional to 755.42, 1,042.35 and 440.70

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Solution

The fourth proportional to 755.42, 1,042.35 and 440.70 is: 608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.42 : 1,042.35 = 440.70 : x
  2. Step 2: Convert to fraction form
    755.42/1,042.35 = 440.70/x
  3. Step 3: Cross multiply
    755.42x = 1,042.35 × 440.70
  4. Step 4: Simplify right side
    755.42x = 459,363.65
  5. Step 5: Solve for x
    x = 459,363.65/755.42
  6. Step 6: Final answer
    x = 608.09

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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.