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Finding the Fourth Proportional to 489.40, 732.90 and 467.80

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Solution

The fourth proportional to 489.40, 732.90 and 467.80 is: 700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.40 : 732.90 = 467.80 : x
  2. Step 2: Convert to fraction form
    489.40/732.90 = 467.80/x
  3. Step 3: Cross multiply
    489.40x = 732.90 × 467.80
  4. Step 4: Simplify right side
    489.40x = 342,850.62
  5. Step 5: Solve for x
    x = 342,850.62/489.40
  6. Step 6: Final answer
    x = 700.55

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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.