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Finding the Fourth Proportional to 1,632.65, 2,448.68 and 478.13

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Solution

The fourth proportional to 1,632.65, 2,448.68 and 478.13 is: 717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.65 : 2,448.68 = 478.13 : x
  2. Step 2: Convert to fraction form
    1,632.65/2,448.68 = 478.13/x
  3. Step 3: Cross multiply
    1,632.65x = 2,448.68 × 478.13
  4. Step 4: Simplify right side
    1,632.65x = 1,170,772.73
  5. Step 5: Solve for x
    x = 1,170,772.73/1,632.65
  6. Step 6: Final answer
    x = 717.10

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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.