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Finding the Fourth Proportional to 489.42, 734.04 and 315.54

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Solution

The fourth proportional to 489.42, 734.04 and 315.54 is: 473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.42 : 734.04 = 315.54 : x
  2. Step 2: Convert to fraction form
    489.42/734.04 = 315.54/x
  3. Step 3: Cross multiply
    489.42x = 734.04 × 315.54
  4. Step 4: Simplify right side
    489.42x = 231,618.98
  5. Step 5: Solve for x
    x = 231,618.98/489.42
  6. Step 6: Final answer
    x = 473.25

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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.