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Finding the Fourth Proportional to 1,671.59, 2,505.57 and 745.88

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Solution

The fourth proportional to 1,671.59, 2,505.57 and 745.88 is: 1,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.59 : 2,505.57 = 745.88 : x
  2. Step 2: Convert to fraction form
    1,671.59/2,505.57 = 745.88/x
  3. Step 3: Cross multiply
    1,671.59x = 2,505.57 × 745.88
  4. Step 4: Simplify right side
    1,671.59x = 1,868,842.02
  5. Step 5: Solve for x
    x = 1,868,842.02/1,671.59
  6. Step 6: Final answer
    x = 1,118.01

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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.