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Finding the Fourth Proportional to 489.04, 674.64 and 292.48

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Solution

The fourth proportional to 489.04, 674.64 and 292.48 is: 403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.04 : 674.64 = 292.48 : x
  2. Step 2: Convert to fraction form
    489.04/674.64 = 292.48/x
  3. Step 3: Cross multiply
    489.04x = 674.64 × 292.48
  4. Step 4: Simplify right side
    489.04x = 197,318.71
  5. Step 5: Solve for x
    x = 197,318.71/489.04
  6. Step 6: Final answer
    x = 403.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.