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Finding the Fourth Proportional to 935.26, 1,402.89 and 415.06

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Solution

The fourth proportional to 935.26, 1,402.89 and 415.06 is: 622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.26 : 1,402.89 = 415.06 : x
  2. Step 2: Convert to fraction form
    935.26/1,402.89 = 415.06/x
  3. Step 3: Cross multiply
    935.26x = 1,402.89 × 415.06
  4. Step 4: Simplify right side
    935.26x = 582,283.52
  5. Step 5: Solve for x
    x = 582,283.52/935.26
  6. Step 6: Final answer
    x = 622.59

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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.