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Finding the Fourth Proportional to 465.76, 698.78 and 260.48

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Solution

The fourth proportional to 465.76, 698.78 and 260.48 is: 390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 698.78 = 260.48 : x
  2. Step 2: Convert to fraction form
    465.76/698.78 = 260.48/x
  3. Step 3: Cross multiply
    465.76x = 698.78 × 260.48
  4. Step 4: Simplify right side
    465.76x = 182,018.66
  5. Step 5: Solve for x
    x = 182,018.66/465.76
  6. Step 6: Final answer
    x = 390.80

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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.