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Finding the Fourth Proportional to 1,478.51, 2,217.74 and 382.87

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Solution

The fourth proportional to 1,478.51, 2,217.74 and 382.87 is: 574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.51 : 2,217.74 = 382.87 : x
  2. Step 2: Convert to fraction form
    1,478.51/2,217.74 = 382.87/x
  3. Step 3: Cross multiply
    1,478.51x = 2,217.74 × 382.87
  4. Step 4: Simplify right side
    1,478.51x = 849,098.66
  5. Step 5: Solve for x
    x = 849,098.66/1,478.51
  6. Step 6: Final answer
    x = 574.29

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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.