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Finding the Fourth Proportional to 749.36, 1,123.29 and 310.55

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Solution

The fourth proportional to 749.36, 1,123.29 and 310.55 is: 465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.36 : 1,123.29 = 310.55 : x
  2. Step 2: Convert to fraction form
    749.36/1,123.29 = 310.55/x
  3. Step 3: Cross multiply
    749.36x = 1,123.29 × 310.55
  4. Step 4: Simplify right side
    749.36x = 348,832.09
  5. Step 5: Solve for x
    x = 348,832.09/749.36
  6. Step 6: Final answer
    x = 465.51

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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.