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Finding the Fourth Proportional to 754.39, 1,041.06 and 422.77

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Solution

The fourth proportional to 754.39, 1,041.06 and 422.77 is: 583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.39 : 1,041.06 = 422.77 : x
  2. Step 2: Convert to fraction form
    754.39/1,041.06 = 422.77/x
  3. Step 3: Cross multiply
    754.39x = 1,041.06 × 422.77
  4. Step 4: Simplify right side
    754.39x = 440,128.94
  5. Step 5: Solve for x
    x = 440,128.94/754.39
  6. Step 6: Final answer
    x = 583.42

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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.