Home / 1,042.12-1,438.08-617.02

Finding the Fourth Proportional to 1,042.12, 1,438.08 and 617.02

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Solution

The fourth proportional to 1,042.12, 1,438.08 and 617.02 is: 851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.12 : 1,438.08 = 617.02 : x
  2. Step 2: Convert to fraction form
    1,042.12/1,438.08 = 617.02/x
  3. Step 3: Cross multiply
    1,042.12x = 1,438.08 × 617.02
  4. Step 4: Simplify right side
    1,042.12x = 887,318.21
  5. Step 5: Solve for x
    x = 887,318.21/1,042.12
  6. Step 6: Final answer
    x = 851.45

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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.