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Finding the Fourth Proportional to 465.55, 698.93 and 328.66

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Solution

The fourth proportional to 465.55, 698.93 and 328.66 is: 493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.55 : 698.93 = 328.66 : x
  2. Step 2: Convert to fraction form
    465.55/698.93 = 328.66/x
  3. Step 3: Cross multiply
    465.55x = 698.93 × 328.66
  4. Step 4: Simplify right side
    465.55x = 229,710.33
  5. Step 5: Solve for x
    x = 229,710.33/465.55
  6. Step 6: Final answer
    x = 493.42

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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.