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Finding the Fourth Proportional to 1,042.07, 1,438.02 and 599.96

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Solution

The fourth proportional to 1,042.07, 1,438.02 and 599.96 is: 827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.07 : 1,438.02 = 599.96 : x
  2. Step 2: Convert to fraction form
    1,042.07/1,438.02 = 599.96/x
  3. Step 3: Cross multiply
    1,042.07x = 1,438.02 × 599.96
  4. Step 4: Simplify right side
    1,042.07x = 862,758.07
  5. Step 5: Solve for x
    x = 862,758.07/1,042.07
  6. Step 6: Final answer
    x = 827.93

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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.