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Finding the Fourth Proportional to 1,318.64, 1,977.95 and 734.52

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Solution

The fourth proportional to 1,318.64, 1,977.95 and 734.52 is: 1,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.64 : 1,977.95 = 734.52 : x
  2. Step 2: Convert to fraction form
    1,318.64/1,977.95 = 734.52/x
  3. Step 3: Cross multiply
    1,318.64x = 1,977.95 × 734.52
  4. Step 4: Simplify right side
    1,318.64x = 1,452,845.67
  5. Step 5: Solve for x
    x = 1,452,845.67/1,318.64
  6. Step 6: Final answer
    x = 1,101.78

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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.