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Finding the Fourth Proportional to 1,120.87, 1,680.12 and 463.19

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Solution

The fourth proportional to 1,120.87, 1,680.12 and 463.19 is: 694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.87 : 1,680.12 = 463.19 : x
  2. Step 2: Convert to fraction form
    1,120.87/1,680.12 = 463.19/x
  3. Step 3: Cross multiply
    1,120.87x = 1,680.12 × 463.19
  4. Step 4: Simplify right side
    1,120.87x = 778,206.38
  5. Step 5: Solve for x
    x = 778,206.38/1,120.87
  6. Step 6: Final answer
    x = 694.29

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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.