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Finding the Fourth Proportional to 64.59, 96.95 and 48.29

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Solution

The fourth proportional to 64.59, 96.95 and 48.29 is: 72.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.59 : 96.95 = 48.29 : x
  2. Step 2: Convert to fraction form
    64.59/96.95 = 48.29/x
  3. Step 3: Cross multiply
    64.59x = 96.95 × 48.29
  4. Step 4: Simplify right side
    64.59x = 4,681.72
  5. Step 5: Solve for x
    x = 4,681.72/64.59
  6. Step 6: Final answer
    x = 72.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.