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Finding the Fourth Proportional to 1,042.04, 1,438.02 and 576.29

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Solution

The fourth proportional to 1,042.04, 1,438.02 and 576.29 is: 795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.04 : 1,438.02 = 576.29 : x
  2. Step 2: Convert to fraction form
    1,042.04/1,438.02 = 576.29/x
  3. Step 3: Cross multiply
    1,042.04x = 1,438.02 × 576.29
  4. Step 4: Simplify right side
    1,042.04x = 828,720.14
  5. Step 5: Solve for x
    x = 828,720.14/1,042.04
  6. Step 6: Final answer
    x = 795.28

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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.