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Finding the Fourth Proportional to 979.35, 1,351.79 and 586.61

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Solution

The fourth proportional to 979.35, 1,351.79 and 586.61 is: 809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.35 : 1,351.79 = 586.61 : x
  2. Step 2: Convert to fraction form
    979.35/1,351.79 = 586.61/x
  3. Step 3: Cross multiply
    979.35x = 1,351.79 × 586.61
  4. Step 4: Simplify right side
    979.35x = 792,963.84
  5. Step 5: Solve for x
    x = 792,963.84/979.35
  6. Step 6: Final answer
    x = 809.68

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1.5x scale

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.