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Finding the Fourth Proportional to 1,641.48, 2,462.16 and 487.20

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Solution

The fourth proportional to 1,641.48, 2,462.16 and 487.20 is: 730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.48 : 2,462.16 = 487.20 : x
  2. Step 2: Convert to fraction form
    1,641.48/2,462.16 = 487.20/x
  3. Step 3: Cross multiply
    1,641.48x = 2,462.16 × 487.20
  4. Step 4: Simplify right side
    1,641.48x = 1,199,564.35
  5. Step 5: Solve for x
    x = 1,199,564.35/1,641.48
  6. Step 6: Final answer
    x = 730.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.