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Finding the Fourth Proportional to 685.80, 946.98 and 453.96

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Solution

The fourth proportional to 685.80, 946.98 and 453.96 is: 626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.80 : 946.98 = 453.96 : x
  2. Step 2: Convert to fraction form
    685.80/946.98 = 453.96/x
  3. Step 3: Cross multiply
    685.80x = 946.98 × 453.96
  4. Step 4: Simplify right side
    685.80x = 429,891.04
  5. Step 5: Solve for x
    x = 429,891.04/685.80
  6. Step 6: Final answer
    x = 626.85

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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.