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Finding the Fourth Proportional to 834.55, 1,151.51 and 498.35

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Solution

The fourth proportional to 834.55, 1,151.51 and 498.35 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.55 : 1,151.51 = 498.35 : x
  2. Step 2: Convert to fraction form
    834.55/1,151.51 = 498.35/x
  3. Step 3: Cross multiply
    834.55x = 1,151.51 × 498.35
  4. Step 4: Simplify right side
    834.55x = 573,850.50
  5. Step 5: Solve for x
    x = 573,850.50/834.55
  6. Step 6: Final answer
    x = 687.62

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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.