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Finding the Fourth Proportional to 1,453.55, 2,180.82 and 529.18

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Solution

The fourth proportional to 1,453.55, 2,180.82 and 529.18 is: 793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.55 : 2,180.82 = 529.18 : x
  2. Step 2: Convert to fraction form
    1,453.55/2,180.82 = 529.18/x
  3. Step 3: Cross multiply
    1,453.55x = 2,180.82 × 529.18
  4. Step 4: Simplify right side
    1,453.55x = 1,154,032.78
  5. Step 5: Solve for x
    x = 1,154,032.78/1,453.55
  6. Step 6: Final answer
    x = 793.94

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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.