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Finding the Fourth Proportional to 834.82, 1,151.93 and 503.12

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Solution

The fourth proportional to 834.82, 1,151.93 and 503.12 is: 694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.82 : 1,151.93 = 503.12 : x
  2. Step 2: Convert to fraction form
    834.82/1,151.93 = 503.12/x
  3. Step 3: Cross multiply
    834.82x = 1,151.93 × 503.12
  4. Step 4: Simplify right side
    834.82x = 579,565.49
  5. Step 5: Solve for x
    x = 579,565.49/834.82
  6. Step 6: Final answer
    x = 694.24

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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.