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Finding the Fourth Proportional to 1,085.33, 1,627.44 and 500.15

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Solution

The fourth proportional to 1,085.33, 1,627.44 and 500.15 is: 749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.33 : 1,627.44 = 500.15 : x
  2. Step 2: Convert to fraction form
    1,085.33/1,627.44 = 500.15/x
  3. Step 3: Cross multiply
    1,085.33x = 1,627.44 × 500.15
  4. Step 4: Simplify right side
    1,085.33x = 813,964.12
  5. Step 5: Solve for x
    x = 813,964.12/1,085.33
  6. Step 6: Final answer
    x = 749.97

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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.