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Finding the Fourth Proportional to 65.62, 90.65 and 53.39

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Solution

The fourth proportional to 65.62, 90.65 and 53.39 is: 73.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.62 : 90.65 = 53.39 : x
  2. Step 2: Convert to fraction form
    65.62/90.65 = 53.39/x
  3. Step 3: Cross multiply
    65.62x = 90.65 × 53.39
  4. Step 4: Simplify right side
    65.62x = 4,839.80
  5. Step 5: Solve for x
    x = 4,839.80/65.62
  6. Step 6: Final answer
    x = 73.76

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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.