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Finding the Fourth Proportional to 1,182.18, 1,773.45 and 412.50

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Solution

The fourth proportional to 1,182.18, 1,773.45 and 412.50 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.18 : 1,773.45 = 412.50 : x
  2. Step 2: Convert to fraction form
    1,182.18/1,773.45 = 412.50/x
  3. Step 3: Cross multiply
    1,182.18x = 1,773.45 × 412.50
  4. Step 4: Simplify right side
    1,182.18x = 731,548.13
  5. Step 5: Solve for x
    x = 731,548.13/1,182.18
  6. Step 6: Final answer
    x = 618.81

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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.