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Finding the Fourth Proportional to 582, 872.40 and 257.04

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Solution

The fourth proportional to 582, 872.40 and 257.04 is: 385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 872.40 = 257.04 : x
  2. Step 2: Convert to fraction form
    582/872.40 = 257.04/x
  3. Step 3: Cross multiply
    582x = 872.40 × 257.04
  4. Step 4: Simplify right side
    582x = 224,241.70
  5. Step 5: Solve for x
    x = 224,241.70/582
  6. Step 6: Final answer
    x = 385.30

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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.