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Finding the Fourth Proportional to 465.71, 695.84 and 449.57

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Solution

The fourth proportional to 465.71, 695.84 and 449.57 is: 671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.71 : 695.84 = 449.57 : x
  2. Step 2: Convert to fraction form
    465.71/695.84 = 449.57/x
  3. Step 3: Cross multiply
    465.71x = 695.84 × 449.57
  4. Step 4: Simplify right side
    465.71x = 312,823.06
  5. Step 5: Solve for x
    x = 312,823.06/465.71
  6. Step 6: Final answer
    x = 671.72

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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.