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Finding the Fourth Proportional to 1,001.60, 1,382.30 and 582

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Solution

The fourth proportional to 1,001.60, 1,382.30 and 582 is: 803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.60 : 1,382.30 = 582 : x
  2. Step 2: Convert to fraction form
    1,001.60/1,382.30 = 582/x
  3. Step 3: Cross multiply
    1,001.60x = 1,382.30 × 582
  4. Step 4: Simplify right side
    1,001.60x = 804,498.60
  5. Step 5: Solve for x
    x = 804,498.60/1,001.60
  6. Step 6: Final answer
    x = 803.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.