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Finding the Fourth Proportional to 1,452.17, 2,178.05 and 478.28

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Solution

The fourth proportional to 1,452.17, 2,178.05 and 478.28 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.17 : 2,178.05 = 478.28 : x
  2. Step 2: Convert to fraction form
    1,452.17/2,178.05 = 478.28/x
  3. Step 3: Cross multiply
    1,452.17x = 2,178.05 × 478.28
  4. Step 4: Simplify right side
    1,452.17x = 1,041,720.81
  5. Step 5: Solve for x
    x = 1,041,720.81/1,452.17
  6. Step 6: Final answer
    x = 717.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.