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Finding the Fourth Proportional to 547.24, 755.10 and 314.38

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Solution

The fourth proportional to 547.24, 755.10 and 314.38 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.24 : 755.10 = 314.38 : x
  2. Step 2: Convert to fraction form
    547.24/755.10 = 314.38/x
  3. Step 3: Cross multiply
    547.24x = 755.10 × 314.38
  4. Step 4: Simplify right side
    547.24x = 237,388.34
  5. Step 5: Solve for x
    x = 237,388.34/547.24
  6. Step 6: Final answer
    x = 433.79

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1.5x scale

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.