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Finding the Fourth Proportional to 489.08, 679.67 and 482.96

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Solution

The fourth proportional to 489.08, 679.67 and 482.96 is: 671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.08 : 679.67 = 482.96 : x
  2. Step 2: Convert to fraction form
    489.08/679.67 = 482.96/x
  3. Step 3: Cross multiply
    489.08x = 679.67 × 482.96
  4. Step 4: Simplify right side
    489.08x = 328,253.42
  5. Step 5: Solve for x
    x = 328,253.42/489.08
  6. Step 6: Final answer
    x = 671.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.