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Finding the Fourth Proportional to 64.76, 89.82 and 62.33

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Solution

The fourth proportional to 64.76, 89.82 and 62.33 is: 86.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.76 : 89.82 = 62.33 : x
  2. Step 2: Convert to fraction form
    64.76/89.82 = 62.33/x
  3. Step 3: Cross multiply
    64.76x = 89.82 × 62.33
  4. Step 4: Simplify right side
    64.76x = 5,598.03
  5. Step 5: Solve for x
    x = 5,598.03/64.76
  6. Step 6: Final answer
    x = 86.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.