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Finding the Fourth Proportional to 465.52, 643.08 and 372.14

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Solution

The fourth proportional to 465.52, 643.08 and 372.14 is: 514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.52 : 643.08 = 372.14 : x
  2. Step 2: Convert to fraction form
    465.52/643.08 = 372.14/x
  3. Step 3: Cross multiply
    465.52x = 643.08 × 372.14
  4. Step 4: Simplify right side
    465.52x = 239,315.79
  5. Step 5: Solve for x
    x = 239,315.79/465.52
  6. Step 6: Final answer
    x = 514.08

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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.