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Finding the Fourth Proportional to 935.31, 1,402.29 and 285.69

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Solution

The fourth proportional to 935.31, 1,402.29 and 285.69 is: 428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.31 : 1,402.29 = 285.69 : x
  2. Step 2: Convert to fraction form
    935.31/1,402.29 = 285.69/x
  3. Step 3: Cross multiply
    935.31x = 1,402.29 × 285.69
  4. Step 4: Simplify right side
    935.31x = 400,620.23
  5. Step 5: Solve for x
    x = 400,620.23/935.31
  6. Step 6: Final answer
    x = 428.33

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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.