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Finding the Fourth Proportional to 1,229.80, 1,698.50 and 953.38

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Solution

The fourth proportional to 1,229.80, 1,698.50 and 953.38 is: 1,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.80 : 1,698.50 = 953.38 : x
  2. Step 2: Convert to fraction form
    1,229.80/1,698.50 = 953.38/x
  3. Step 3: Cross multiply
    1,229.80x = 1,698.50 × 953.38
  4. Step 4: Simplify right side
    1,229.80x = 1,619,315.93
  5. Step 5: Solve for x
    x = 1,619,315.93/1,229.80
  6. Step 6: Final answer
    x = 1,316.73

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Double scale
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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.