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Finding the Fourth Proportional to 465.84, 643.50 and 372.72

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Solution

The fourth proportional to 465.84, 643.50 and 372.72 is: 514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 643.50 = 372.72 : x
  2. Step 2: Convert to fraction form
    465.84/643.50 = 372.72/x
  3. Step 3: Cross multiply
    465.84x = 643.50 × 372.72
  4. Step 4: Simplify right side
    465.84x = 239,845.32
  5. Step 5: Solve for x
    x = 239,845.32/465.84
  6. Step 6: Final answer
    x = 514.87

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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.