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Finding the Fourth Proportional to 70.50, 96.57 and 64.02

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Solution

The fourth proportional to 70.50, 96.57 and 64.02 is: 87.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.50 : 96.57 = 64.02 : x
  2. Step 2: Convert to fraction form
    70.50/96.57 = 64.02/x
  3. Step 3: Cross multiply
    70.50x = 96.57 × 64.02
  4. Step 4: Simplify right side
    70.50x = 6,182.41
  5. Step 5: Solve for x
    x = 6,182.41/70.50
  6. Step 6: Final answer
    x = 87.69

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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.