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Finding the Fourth Proportional to 935.61, 1,396.82 and 715.07

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Solution

The fourth proportional to 935.61, 1,396.82 and 715.07 is: 1,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.61 : 1,396.82 = 715.07 : x
  2. Step 2: Convert to fraction form
    935.61/1,396.82 = 715.07/x
  3. Step 3: Cross multiply
    935.61x = 1,396.82 × 715.07
  4. Step 4: Simplify right side
    935.61x = 998,822.29
  5. Step 5: Solve for x
    x = 998,822.29/935.61
  6. Step 6: Final answer
    x = 1,067.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.