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Finding the Fourth Proportional to 1,452.77, 2,179.10 and 478.85

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Solution

The fourth proportional to 1,452.77, 2,179.10 and 478.85 is: 718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.77 : 2,179.10 = 478.85 : x
  2. Step 2: Convert to fraction form
    1,452.77/2,179.10 = 478.85/x
  3. Step 3: Cross multiply
    1,452.77x = 2,179.10 × 478.85
  4. Step 4: Simplify right side
    1,452.77x = 1,043,452.34
  5. Step 5: Solve for x
    x = 1,043,452.34/1,452.77
  6. Step 6: Final answer
    x = 718.25

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1.5x scale

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.