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Finding the Fourth Proportional to 1,456.84, 2,184.39 and 578.87

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Solution

The fourth proportional to 1,456.84, 2,184.39 and 578.87 is: 867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.84 : 2,184.39 = 578.87 : x
  2. Step 2: Convert to fraction form
    1,456.84/2,184.39 = 578.87/x
  3. Step 3: Cross multiply
    1,456.84x = 2,184.39 × 578.87
  4. Step 4: Simplify right side
    1,456.84x = 1,264,469.65
  5. Step 5: Solve for x
    x = 1,264,469.65/1,456.84
  6. Step 6: Final answer
    x = 867.96

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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.