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Finding the Fourth Proportional to 763.53, 1,142.55 and 661.16

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Solution

The fourth proportional to 763.53, 1,142.55 and 661.16 is: 989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.53 : 1,142.55 = 661.16 : x
  2. Step 2: Convert to fraction form
    763.53/1,142.55 = 661.16/x
  3. Step 3: Cross multiply
    763.53x = 1,142.55 × 661.16
  4. Step 4: Simplify right side
    763.53x = 755,408.36
  5. Step 5: Solve for x
    x = 755,408.36/763.53
  6. Step 6: Final answer
    x = 989.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.