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Finding the Fourth Proportional to 918.32, 1,267.80 and 635.16

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Solution

The fourth proportional to 918.32, 1,267.80 and 635.16 is: 876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.32 : 1,267.80 = 635.16 : x
  2. Step 2: Convert to fraction form
    918.32/1,267.80 = 635.16/x
  3. Step 3: Cross multiply
    918.32x = 1,267.80 × 635.16
  4. Step 4: Simplify right side
    918.32x = 805,255.85
  5. Step 5: Solve for x
    x = 805,255.85/918.32
  6. Step 6: Final answer
    x = 876.88

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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.