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Finding the Fourth Proportional to 803.53, 1,204.14 and 495.31

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Solution

The fourth proportional to 803.53, 1,204.14 and 495.31 is: 742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.53 : 1,204.14 = 495.31 : x
  2. Step 2: Convert to fraction form
    803.53/1,204.14 = 495.31/x
  3. Step 3: Cross multiply
    803.53x = 1,204.14 × 495.31
  4. Step 4: Simplify right side
    803.53x = 596,422.58
  5. Step 5: Solve for x
    x = 596,422.58/803.53
  6. Step 6: Final answer
    x = 742.25

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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.