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Finding the Fourth Proportional to 935.25, 1,402.43 and 350.09

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Solution

The fourth proportional to 935.25, 1,402.43 and 350.09 is: 524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.25 : 1,402.43 = 350.09 : x
  2. Step 2: Convert to fraction form
    935.25/1,402.43 = 350.09/x
  3. Step 3: Cross multiply
    935.25x = 1,402.43 × 350.09
  4. Step 4: Simplify right side
    935.25x = 490,967.96
  5. Step 5: Solve for x
    x = 490,967.96/935.25
  6. Step 6: Final answer
    x = 524.96

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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.