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Finding the Fourth Proportional to 64.62, 89.19 and 42.77

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Solution

The fourth proportional to 64.62, 89.19 and 42.77 is: 59.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.62 : 89.19 = 42.77 : x
  2. Step 2: Convert to fraction form
    64.62/89.19 = 42.77/x
  3. Step 3: Cross multiply
    64.62x = 89.19 × 42.77
  4. Step 4: Simplify right side
    64.62x = 3,814.21
  5. Step 5: Solve for x
    x = 3,814.21/64.62
  6. Step 6: Final answer
    x = 59.03

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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.