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Finding the Fourth Proportional to 489.67, 675.61 and 315.11

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Solution

The fourth proportional to 489.67, 675.61 and 315.11 is: 434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.67 : 675.61 = 315.11 : x
  2. Step 2: Convert to fraction form
    489.67/675.61 = 315.11/x
  3. Step 3: Cross multiply
    489.67x = 675.61 × 315.11
  4. Step 4: Simplify right side
    489.67x = 212,892.37
  5. Step 5: Solve for x
    x = 212,892.37/489.67
  6. Step 6: Final answer
    x = 434.77

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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.