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Finding the Fourth Proportional to 700.26, 1,049.78 and 267.12

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Solution

The fourth proportional to 700.26, 1,049.78 and 267.12 is: 400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.26 : 1,049.78 = 267.12 : x
  2. Step 2: Convert to fraction form
    700.26/1,049.78 = 267.12/x
  3. Step 3: Cross multiply
    700.26x = 1,049.78 × 267.12
  4. Step 4: Simplify right side
    700.26x = 280,417.23
  5. Step 5: Solve for x
    x = 280,417.23/700.26
  6. Step 6: Final answer
    x = 400.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.