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Finding the Fourth Proportional to 709.54, 978.66 and 489.03

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Solution

The fourth proportional to 709.54, 978.66 and 489.03 is: 674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.54 : 978.66 = 489.03 : x
  2. Step 2: Convert to fraction form
    709.54/978.66 = 489.03/x
  3. Step 3: Cross multiply
    709.54x = 978.66 × 489.03
  4. Step 4: Simplify right side
    709.54x = 478,594.10
  5. Step 5: Solve for x
    x = 478,594.10/709.54
  6. Step 6: Final answer
    x = 674.51

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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.