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Finding the Fourth Proportional to 764.17, 1,140.35 and 654.41

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Solution

The fourth proportional to 764.17, 1,140.35 and 654.41 is: 976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.17 : 1,140.35 = 654.41 : x
  2. Step 2: Convert to fraction form
    764.17/1,140.35 = 654.41/x
  3. Step 3: Cross multiply
    764.17x = 1,140.35 × 654.41
  4. Step 4: Simplify right side
    764.17x = 746,256.02
  5. Step 5: Solve for x
    x = 746,256.02/764.17
  6. Step 6: Final answer
    x = 976.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.