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Finding the Fourth Proportional to 1,452.03, 2,178.36 and 478.10

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Solution

The fourth proportional to 1,452.03, 2,178.36 and 478.10 is: 717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.03 : 2,178.36 = 478.10 : x
  2. Step 2: Convert to fraction form
    1,452.03/2,178.36 = 478.10/x
  3. Step 3: Cross multiply
    1,452.03x = 2,178.36 × 478.10
  4. Step 4: Simplify right side
    1,452.03x = 1,041,473.92
  5. Step 5: Solve for x
    x = 1,041,473.92/1,452.03
  6. Step 6: Final answer
    x = 717.25

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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.