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Finding the Fourth Proportional to 1,001.48, 1,374.16 and 991.76

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Solution

The fourth proportional to 1,001.48, 1,374.16 and 991.76 is: 1,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.48 : 1,374.16 = 991.76 : x
  2. Step 2: Convert to fraction form
    1,001.48/1,374.16 = 991.76/x
  3. Step 3: Cross multiply
    1,001.48x = 1,374.16 × 991.76
  4. Step 4: Simplify right side
    1,001.48x = 1,362,836.92
  5. Step 5: Solve for x
    x = 1,362,836.92/1,001.48
  6. Step 6: Final answer
    x = 1,360.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.