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Finding the Fourth Proportional to 1,114.57, 1,671.85 and 464.95

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Solution

The fourth proportional to 1,114.57, 1,671.85 and 464.95 is: 697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.57 : 1,671.85 = 464.95 : x
  2. Step 2: Convert to fraction form
    1,114.57/1,671.85 = 464.95/x
  3. Step 3: Cross multiply
    1,114.57x = 1,671.85 × 464.95
  4. Step 4: Simplify right side
    1,114.57x = 777,318.30
  5. Step 5: Solve for x
    x = 777,318.30/1,114.57
  6. Step 6: Final answer
    x = 697.42

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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.