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Finding the Fourth Proportional to 1,176.32, 1,764.48 and 559.88

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Solution

The fourth proportional to 1,176.32, 1,764.48 and 559.88 is: 839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.32 : 1,764.48 = 559.88 : x
  2. Step 2: Convert to fraction form
    1,176.32/1,764.48 = 559.88/x
  3. Step 3: Cross multiply
    1,176.32x = 1,764.48 × 559.88
  4. Step 4: Simplify right side
    1,176.32x = 987,897.06
  5. Step 5: Solve for x
    x = 987,897.06/1,176.32
  6. Step 6: Final answer
    x = 839.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.