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Finding the Fourth Proportional to 1,178.32, 1,765.33 and 552.47

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Solution

The fourth proportional to 1,178.32, 1,765.33 and 552.47 is: 827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.32 : 1,765.33 = 552.47 : x
  2. Step 2: Convert to fraction form
    1,178.32/1,765.33 = 552.47/x
  3. Step 3: Cross multiply
    1,178.32x = 1,765.33 × 552.47
  4. Step 4: Simplify right side
    1,178.32x = 975,280.28
  5. Step 5: Solve for x
    x = 975,280.28/1,178.32
  6. Step 6: Final answer
    x = 827.69

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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.