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Finding the Fourth Proportional to 763.97, 1,142.30 and 649.76

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Solution

The fourth proportional to 763.97, 1,142.30 and 649.76 is: 971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.97 : 1,142.30 = 649.76 : x
  2. Step 2: Convert to fraction form
    763.97/1,142.30 = 649.76/x
  3. Step 3: Cross multiply
    763.97x = 1,142.30 × 649.76
  4. Step 4: Simplify right side
    763.97x = 742,216.76
  5. Step 5: Solve for x
    x = 742,216.76/763.97
  6. Step 6: Final answer
    x = 971.53

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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.