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Finding the Fourth Proportional to 7.57, 10.46 and 6.89

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Solution

The fourth proportional to 7.57, 10.46 and 6.89 is: 9.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.57 : 10.46 = 6.89 : x
  2. Step 2: Convert to fraction form
    7.57/10.46 = 6.89/x
  3. Step 3: Cross multiply
    7.57x = 10.46 × 6.89
  4. Step 4: Simplify right side
    7.57x = 71.98
  5. Step 5: Solve for x
    x = 71.98/7.57
  6. Step 6: Final answer
    x = 9.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.