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Finding the Fourth Proportional to 803.53, 1,203.36 and 437.41

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Solution

The fourth proportional to 803.53, 1,203.36 and 437.41 is: 655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.53 : 1,203.36 = 437.41 : x
  2. Step 2: Convert to fraction form
    803.53/1,203.36 = 437.41/x
  3. Step 3: Cross multiply
    803.53x = 1,203.36 × 437.41
  4. Step 4: Simplify right side
    803.53x = 526,361.70
  5. Step 5: Solve for x
    x = 526,361.70/803.53
  6. Step 6: Final answer
    x = 655.06

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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.