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Finding the Fourth Proportional to 64.95, 88.97 and 64.77

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Solution

The fourth proportional to 64.95, 88.97 and 64.77 is: 88.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.95 : 88.97 = 64.77 : x
  2. Step 2: Convert to fraction form
    64.95/88.97 = 64.77/x
  3. Step 3: Cross multiply
    64.95x = 88.97 × 64.77
  4. Step 4: Simplify right side
    64.95x = 5,762.26
  5. Step 5: Solve for x
    x = 5,762.26/64.95
  6. Step 6: Final answer
    x = 88.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.