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Finding the Fourth Proportional to 70.00, 96.53 and 64.37

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Solution

The fourth proportional to 70.00, 96.53 and 64.37 is: 88.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.00 : 96.53 = 64.37 : x
  2. Step 2: Convert to fraction form
    70.00/96.53 = 64.37/x
  3. Step 3: Cross multiply
    70.00x = 96.53 × 64.37
  4. Step 4: Simplify right side
    70.00x = 6,213.56
  5. Step 5: Solve for x
    x = 6,213.56/70.00
  6. Step 6: Final answer
    x = 88.77

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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.