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Finding the Fourth Proportional to 489.37, 734.25 and 316.37

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Solution

The fourth proportional to 489.37, 734.25 and 316.37 is: 474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.37 : 734.25 = 316.37 : x
  2. Step 2: Convert to fraction form
    489.37/734.25 = 316.37/x
  3. Step 3: Cross multiply
    489.37x = 734.25 × 316.37
  4. Step 4: Simplify right side
    489.37x = 232,294.67
  5. Step 5: Solve for x
    x = 232,294.67/489.37
  6. Step 6: Final answer
    x = 474.68

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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.