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Finding the Fourth Proportional to 748.77, 1,122.39 and 286.43

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Solution

The fourth proportional to 748.77, 1,122.39 and 286.43 is: 429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.77 : 1,122.39 = 286.43 : x
  2. Step 2: Convert to fraction form
    748.77/1,122.39 = 286.43/x
  3. Step 3: Cross multiply
    748.77x = 1,122.39 × 286.43
  4. Step 4: Simplify right side
    748.77x = 321,482.66
  5. Step 5: Solve for x
    x = 321,482.66/748.77
  6. Step 6: Final answer
    x = 429.35

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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.