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Finding the Fourth Proportional to 465.76, 698.66 and 123.76

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Solution

The fourth proportional to 465.76, 698.66 and 123.76 is: 185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 698.66 = 123.76 : x
  2. Step 2: Convert to fraction form
    465.76/698.66 = 123.76/x
  3. Step 3: Cross multiply
    465.76x = 698.66 × 123.76
  4. Step 4: Simplify right side
    465.76x = 86,466.16
  5. Step 5: Solve for x
    x = 86,466.16/465.76
  6. Step 6: Final answer
    x = 185.65

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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.