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Finding the Fourth Proportional to 1,001.85, 1,382.46 and 603.58

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Solution

The fourth proportional to 1,001.85, 1,382.46 and 603.58 is: 832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.85 : 1,382.46 = 603.58 : x
  2. Step 2: Convert to fraction form
    1,001.85/1,382.46 = 603.58/x
  3. Step 3: Cross multiply
    1,001.85x = 1,382.46 × 603.58
  4. Step 4: Simplify right side
    1,001.85x = 834,425.21
  5. Step 5: Solve for x
    x = 834,425.21/1,001.85
  6. Step 6: Final answer
    x = 832.88

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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.