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Finding the Fourth Proportional to 935.12, 1,402.74 and 285.86

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Solution

The fourth proportional to 935.12, 1,402.74 and 285.86 is: 428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.12 : 1,402.74 = 285.86 : x
  2. Step 2: Convert to fraction form
    935.12/1,402.74 = 285.86/x
  3. Step 3: Cross multiply
    935.12x = 1,402.74 × 285.86
  4. Step 4: Simplify right side
    935.12x = 400,987.26
  5. Step 5: Solve for x
    x = 400,987.26/935.12
  6. Step 6: Final answer
    x = 428.81

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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.