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Finding the Fourth Proportional to 1,410.46, 2,115.55 and 485.89

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Solution

The fourth proportional to 1,410.46, 2,115.55 and 485.89 is: 728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.46 : 2,115.55 = 485.89 : x
  2. Step 2: Convert to fraction form
    1,410.46/2,115.55 = 485.89/x
  3. Step 3: Cross multiply
    1,410.46x = 2,115.55 × 485.89
  4. Step 4: Simplify right side
    1,410.46x = 1,027,919.91
  5. Step 5: Solve for x
    x = 1,027,919.91/1,410.46
  6. Step 6: Final answer
    x = 728.78

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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.