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Finding the Fourth Proportional to 70.69, 97.80 and 62.08

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Solution

The fourth proportional to 70.69, 97.80 and 62.08 is: 85.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.69 : 97.80 = 62.08 : x
  2. Step 2: Convert to fraction form
    70.69/97.80 = 62.08/x
  3. Step 3: Cross multiply
    70.69x = 97.80 × 62.08
  4. Step 4: Simplify right side
    70.69x = 6,071.42
  5. Step 5: Solve for x
    x = 6,071.42/70.69
  6. Step 6: Final answer
    x = 85.89

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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.