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Finding the Fourth Proportional to 1,042.02, 1,438.28 and 622.65

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Solution

The fourth proportional to 1,042.02, 1,438.28 and 622.65 is: 859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.02 : 1,438.28 = 622.65 : x
  2. Step 2: Convert to fraction form
    1,042.02/1,438.28 = 622.65/x
  3. Step 3: Cross multiply
    1,042.02x = 1,438.28 × 622.65
  4. Step 4: Simplify right side
    1,042.02x = 895,541.93
  5. Step 5: Solve for x
    x = 895,541.93/1,042.02
  6. Step 6: Final answer
    x = 859.43

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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.