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Finding the Fourth Proportional to 749.36, 1,123.31 and 286.78

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Solution

The fourth proportional to 749.36, 1,123.31 and 286.78 is: 429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.36 : 1,123.31 = 286.78 : x
  2. Step 2: Convert to fraction form
    749.36/1,123.31 = 286.78/x
  3. Step 3: Cross multiply
    749.36x = 1,123.31 × 286.78
  4. Step 4: Simplify right side
    749.36x = 322,139.14
  5. Step 5: Solve for x
    x = 322,139.14/749.36
  6. Step 6: Final answer
    x = 429.89

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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.