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Finding the Fourth Proportional to 496.25, 686.15 and 434.76

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Solution

The fourth proportional to 496.25, 686.15 and 434.76 is: 601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.25 : 686.15 = 434.76 : x
  2. Step 2: Convert to fraction form
    496.25/686.15 = 434.76/x
  3. Step 3: Cross multiply
    496.25x = 686.15 × 434.76
  4. Step 4: Simplify right side
    496.25x = 298,310.57
  5. Step 5: Solve for x
    x = 298,310.57/496.25
  6. Step 6: Final answer
    x = 601.13

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Double scale
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1.5x scale

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.