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Finding the Fourth Proportional to 979.35, 1,351.67 and 586.45

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Solution

The fourth proportional to 979.35, 1,351.67 and 586.45 is: 809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.35 : 1,351.67 = 586.45 : x
  2. Step 2: Convert to fraction form
    979.35/1,351.67 = 586.45/x
  3. Step 3: Cross multiply
    979.35x = 1,351.67 × 586.45
  4. Step 4: Simplify right side
    979.35x = 792,686.87
  5. Step 5: Solve for x
    x = 792,686.87/979.35
  6. Step 6: Final answer
    x = 809.40

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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.