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Finding the Fourth Proportional to 1,042.36, 1,438.37 and 576.61

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Solution

The fourth proportional to 1,042.36, 1,438.37 and 576.61 is: 795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.36 : 1,438.37 = 576.61 : x
  2. Step 2: Convert to fraction form
    1,042.36/1,438.37 = 576.61/x
  3. Step 3: Cross multiply
    1,042.36x = 1,438.37 × 576.61
  4. Step 4: Simplify right side
    1,042.36x = 829,374.21
  5. Step 5: Solve for x
    x = 829,374.21/1,042.36
  6. Step 6: Final answer
    x = 795.67

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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.