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Finding the Fourth Proportional to 465.96, 695.49 and 411.87

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Solution

The fourth proportional to 465.96, 695.49 and 411.87 is: 614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 695.49 = 411.87 : x
  2. Step 2: Convert to fraction form
    465.96/695.49 = 411.87/x
  3. Step 3: Cross multiply
    465.96x = 695.49 × 411.87
  4. Step 4: Simplify right side
    465.96x = 286,451.47
  5. Step 5: Solve for x
    x = 286,451.47/465.96
  6. Step 6: Final answer
    x = 614.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.