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Finding the Fourth Proportional to 6.57, 9.78 and 6.40

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Solution

The fourth proportional to 6.57, 9.78 and 6.40 is: 9.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 9.78 = 6.40 : x
  2. Step 2: Convert to fraction form
    6.57/9.78 = 6.40/x
  3. Step 3: Cross multiply
    6.57x = 9.78 × 6.40
  4. Step 4: Simplify right side
    6.57x = 62.57
  5. Step 5: Solve for x
    x = 62.57/6.57
  6. Step 6: Final answer
    x = 9.52

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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.