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Finding the Fourth Proportional to 7.71, 10.64 and 4.64

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Solution

The fourth proportional to 7.71, 10.64 and 4.64 is: 6.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.71 : 10.64 = 4.64 : x
  2. Step 2: Convert to fraction form
    7.71/10.64 = 4.64/x
  3. Step 3: Cross multiply
    7.71x = 10.64 × 4.64
  4. Step 4: Simplify right side
    7.71x = 49.39
  5. Step 5: Solve for x
    x = 49.39/7.71
  6. Step 6: Final answer
    x = 6.40

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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.