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Finding the Fourth Proportional to 749.01, 1,123.55 and 286.63

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Solution

The fourth proportional to 749.01, 1,123.55 and 286.63 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.01 : 1,123.55 = 286.63 : x
  2. Step 2: Convert to fraction form
    749.01/1,123.55 = 286.63/x
  3. Step 3: Cross multiply
    749.01x = 1,123.55 × 286.63
  4. Step 4: Simplify right side
    749.01x = 322,043.14
  5. Step 5: Solve for x
    x = 322,043.14/749.01
  6. Step 6: Final answer
    x = 429.96

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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.