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Finding the Fourth Proportional to 763.90, 1,144.29 and 648.56

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Solution

The fourth proportional to 763.90, 1,144.29 and 648.56 is: 971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.90 : 1,144.29 = 648.56 : x
  2. Step 2: Convert to fraction form
    763.90/1,144.29 = 648.56/x
  3. Step 3: Cross multiply
    763.90x = 1,144.29 × 648.56
  4. Step 4: Simplify right side
    763.90x = 742,140.72
  5. Step 5: Solve for x
    x = 742,140.72/763.90
  6. Step 6: Final answer
    x = 971.52

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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.