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Finding the Fourth Proportional to 979.56, 1,351.64 and 586.50

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Solution

The fourth proportional to 979.56, 1,351.64 and 586.50 is: 809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.56 : 1,351.64 = 586.50 : x
  2. Step 2: Convert to fraction form
    979.56/1,351.64 = 586.50/x
  3. Step 3: Cross multiply
    979.56x = 1,351.64 × 586.50
  4. Step 4: Simplify right side
    979.56x = 792,736.86
  5. Step 5: Solve for x
    x = 792,736.86/979.56
  6. Step 6: Final answer
    x = 809.28

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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.