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Finding the Fourth Proportional to 935.11, 1,396.07 and 714.57

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Solution

The fourth proportional to 935.11, 1,396.07 and 714.57 is: 1,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.11 : 1,396.07 = 714.57 : x
  2. Step 2: Convert to fraction form
    935.11/1,396.07 = 714.57/x
  3. Step 3: Cross multiply
    935.11x = 1,396.07 × 714.57
  4. Step 4: Simplify right side
    935.11x = 997,591.53
  5. Step 5: Solve for x
    x = 997,591.53/935.11
  6. Step 6: Final answer
    x = 1,066.82

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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.