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Finding the Fourth Proportional to 489.04, 731.34 and 293.48

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Solution

The fourth proportional to 489.04, 731.34 and 293.48 is: 438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.04 : 731.34 = 293.48 : x
  2. Step 2: Convert to fraction form
    489.04/731.34 = 293.48/x
  3. Step 3: Cross multiply
    489.04x = 731.34 × 293.48
  4. Step 4: Simplify right side
    489.04x = 214,633.66
  5. Step 5: Solve for x
    x = 214,633.66/489.04
  6. Step 6: Final answer
    x = 438.89

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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.