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Finding the Fourth Proportional to 61.69, 84.90 and 56.50

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Solution

The fourth proportional to 61.69, 84.90 and 56.50 is: 77.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.69 : 84.90 = 56.50 : x
  2. Step 2: Convert to fraction form
    61.69/84.90 = 56.50/x
  3. Step 3: Cross multiply
    61.69x = 84.90 × 56.50
  4. Step 4: Simplify right side
    61.69x = 4,796.85
  5. Step 5: Solve for x
    x = 4,796.85/61.69
  6. Step 6: Final answer
    x = 77.76

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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.