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Finding the Fourth Proportional to 1,042.42, 1,438.08 and 600.07

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Solution

The fourth proportional to 1,042.42, 1,438.08 and 600.07 is: 827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.42 : 1,438.08 = 600.07 : x
  2. Step 2: Convert to fraction form
    1,042.42/1,438.08 = 600.07/x
  3. Step 3: Cross multiply
    1,042.42x = 1,438.08 × 600.07
  4. Step 4: Simplify right side
    1,042.42x = 862,948.67
  5. Step 5: Solve for x
    x = 862,948.67/1,042.42
  6. Step 6: Final answer
    x = 827.83

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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.