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Finding the Fourth Proportional to 685.53, 946.35 and 449.49

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Solution

The fourth proportional to 685.53, 946.35 and 449.49 is: 620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.53 : 946.35 = 449.49 : x
  2. Step 2: Convert to fraction form
    685.53/946.35 = 449.49/x
  3. Step 3: Cross multiply
    685.53x = 946.35 × 449.49
  4. Step 4: Simplify right side
    685.53x = 425,378.41
  5. Step 5: Solve for x
    x = 425,378.41/685.53
  6. Step 6: Final answer
    x = 620.51

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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.