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Finding the Fourth Proportional to 10.64, 14.70 and 9.05

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Solution

The fourth proportional to 10.64, 14.70 and 9.05 is: 12.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.64 : 14.70 = 9.05 : x
  2. Step 2: Convert to fraction form
    10.64/14.70 = 9.05/x
  3. Step 3: Cross multiply
    10.64x = 14.70 × 9.05
  4. Step 4: Simplify right side
    10.64x = 133.04
  5. Step 5: Solve for x
    x = 133.04/10.64
  6. Step 6: Final answer
    x = 12.50

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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.