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Finding the Fourth Proportional to 1,374.76, 2,062.52 and 634.59

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Solution

The fourth proportional to 1,374.76, 2,062.52 and 634.59 is: 952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.76 : 2,062.52 = 634.59 : x
  2. Step 2: Convert to fraction form
    1,374.76/2,062.52 = 634.59/x
  3. Step 3: Cross multiply
    1,374.76x = 2,062.52 × 634.59
  4. Step 4: Simplify right side
    1,374.76x = 1,308,857.19
  5. Step 5: Solve for x
    x = 1,308,857.19/1,374.76
  6. Step 6: Final answer
    x = 952.07

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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.