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Finding the Fourth Proportional to 544.04, 750.84 and 311.24

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Solution

The fourth proportional to 544.04, 750.84 and 311.24 is: 429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.04 : 750.84 = 311.24 : x
  2. Step 2: Convert to fraction form
    544.04/750.84 = 311.24/x
  3. Step 3: Cross multiply
    544.04x = 750.84 × 311.24
  4. Step 4: Simplify right side
    544.04x = 233,691.44
  5. Step 5: Solve for x
    x = 233,691.44/544.04
  6. Step 6: Final answer
    x = 429.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.