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Finding the Fourth Proportional to 834.38, 1,151.61 and 485.06

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Solution

The fourth proportional to 834.38, 1,151.61 and 485.06 is: 669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.38 : 1,151.61 = 485.06 : x
  2. Step 2: Convert to fraction form
    834.38/1,151.61 = 485.06/x
  3. Step 3: Cross multiply
    834.38x = 1,151.61 × 485.06
  4. Step 4: Simplify right side
    834.38x = 558,602.83
  5. Step 5: Solve for x
    x = 558,602.83/834.38
  6. Step 6: Final answer
    x = 669.49

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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.