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Finding the Fourth Proportional to 1,285.89, 1,928.90 and 464.68

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Solution

The fourth proportional to 1,285.89, 1,928.90 and 464.68 is: 697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.89 : 1,928.90 = 464.68 : x
  2. Step 2: Convert to fraction form
    1,285.89/1,928.90 = 464.68/x
  3. Step 3: Cross multiply
    1,285.89x = 1,928.90 × 464.68
  4. Step 4: Simplify right side
    1,285.89x = 896,321.25
  5. Step 5: Solve for x
    x = 896,321.25/1,285.89
  6. Step 6: Final answer
    x = 697.04

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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.