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Finding the Fourth Proportional to 959.96, 1,324.62 and 586.84

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Solution

The fourth proportional to 959.96, 1,324.62 and 586.84 is: 809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.96 : 1,324.62 = 586.84 : x
  2. Step 2: Convert to fraction form
    959.96/1,324.62 = 586.84/x
  3. Step 3: Cross multiply
    959.96x = 1,324.62 × 586.84
  4. Step 4: Simplify right side
    959.96x = 777,340.00
  5. Step 5: Solve for x
    x = 777,340.00/959.96
  6. Step 6: Final answer
    x = 809.76

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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.