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Finding the Fourth Proportional to 685.87, 946.59 and 449.75

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Solution

The fourth proportional to 685.87, 946.59 and 449.75 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.87 : 946.59 = 449.75 : x
  2. Step 2: Convert to fraction form
    685.87/946.59 = 449.75/x
  3. Step 3: Cross multiply
    685.87x = 946.59 × 449.75
  4. Step 4: Simplify right side
    685.87x = 425,729.53
  5. Step 5: Solve for x
    x = 425,729.53/685.87
  6. Step 6: Final answer
    x = 620.72

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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.