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Finding the Fourth Proportional to 586.65, 878.49 and 489.45

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Solution

The fourth proportional to 586.65, 878.49 and 489.45 is: 732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.65 : 878.49 = 489.45 : x
  2. Step 2: Convert to fraction form
    586.65/878.49 = 489.45/x
  3. Step 3: Cross multiply
    586.65x = 878.49 × 489.45
  4. Step 4: Simplify right side
    586.65x = 429,976.93
  5. Step 5: Solve for x
    x = 429,976.93/586.65
  6. Step 6: Final answer
    x = 732.94

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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.