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Finding the Fourth Proportional to 462.07, 637.63 and 287.11

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Solution

The fourth proportional to 462.07, 637.63 and 287.11 is: 396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.07 : 637.63 = 287.11 : x
  2. Step 2: Convert to fraction form
    462.07/637.63 = 287.11/x
  3. Step 3: Cross multiply
    462.07x = 637.63 × 287.11
  4. Step 4: Simplify right side
    462.07x = 183,069.95
  5. Step 5: Solve for x
    x = 183,069.95/462.07
  6. Step 6: Final answer
    x = 396.20

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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.