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Finding the Fourth Proportional to 465.81, 697.80 and 259.76

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Solution

The fourth proportional to 465.81, 697.80 and 259.76 is: 389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.81 : 697.80 = 259.76 : x
  2. Step 2: Convert to fraction form
    465.81/697.80 = 259.76/x
  3. Step 3: Cross multiply
    465.81x = 697.80 × 259.76
  4. Step 4: Simplify right side
    465.81x = 181,257.04
  5. Step 5: Solve for x
    x = 181,257.04/465.81
  6. Step 6: Final answer
    x = 389.12

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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.