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Finding the Fourth Proportional to 489.60, 732.48 and 412.74

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Solution

The fourth proportional to 489.60, 732.48 and 412.74 is: 617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.60 : 732.48 = 412.74 : x
  2. Step 2: Convert to fraction form
    489.60/732.48 = 412.74/x
  3. Step 3: Cross multiply
    489.60x = 732.48 × 412.74
  4. Step 4: Simplify right side
    489.60x = 302,323.80
  5. Step 5: Solve for x
    x = 302,323.80/489.60
  6. Step 6: Final answer
    x = 617.49

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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.