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Finding the Fourth Proportional to 935.01, 1,402.56 and 285.75

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Solution

The fourth proportional to 935.01, 1,402.56 and 285.75 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.01 : 1,402.56 = 285.75 : x
  2. Step 2: Convert to fraction form
    935.01/1,402.56 = 285.75/x
  3. Step 3: Cross multiply
    935.01x = 1,402.56 × 285.75
  4. Step 4: Simplify right side
    935.01x = 400,781.52
  5. Step 5: Solve for x
    x = 400,781.52/935.01
  6. Step 6: Final answer
    x = 428.64

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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.