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Finding the Fourth Proportional to 763.25, 1,143 and 437.63

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Solution

The fourth proportional to 763.25, 1,143 and 437.63 is: 655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.25 : 1,143 = 437.63 : x
  2. Step 2: Convert to fraction form
    763.25/1,143 = 437.63/x
  3. Step 3: Cross multiply
    763.25x = 1,143 × 437.63
  4. Step 4: Simplify right side
    763.25x = 500,205.38
  5. Step 5: Solve for x
    x = 500,205.38/763.25
  6. Step 6: Final answer
    x = 655.37

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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.