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Finding the Fourth Proportional to 909.53, 1,361.22 and 761.93

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Solution

The fourth proportional to 909.53, 1,361.22 and 761.93 is: 1,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.53 : 1,361.22 = 761.93 : x
  2. Step 2: Convert to fraction form
    909.53/1,361.22 = 761.93/x
  3. Step 3: Cross multiply
    909.53x = 1,361.22 × 761.93
  4. Step 4: Simplify right side
    909.53x = 1,037,147.55
  5. Step 5: Solve for x
    x = 1,037,147.55/909.53
  6. Step 6: Final answer
    x = 1,140.32

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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.