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Finding the Fourth Proportional to 834.99, 1,151.33 and 587.13

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Solution

The fourth proportional to 834.99, 1,151.33 and 587.13 is: 809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.99 : 1,151.33 = 587.13 : x
  2. Step 2: Convert to fraction form
    834.99/1,151.33 = 587.13/x
  3. Step 3: Cross multiply
    834.99x = 1,151.33 × 587.13
  4. Step 4: Simplify right side
    834.99x = 675,977.45
  5. Step 5: Solve for x
    x = 675,977.45/834.99
  6. Step 6: Final answer
    x = 809.56

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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.