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Finding the Fourth Proportional to 504.42, 754.88 and 309.33

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Solution

The fourth proportional to 504.42, 754.88 and 309.33 is: 462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.42 : 754.88 = 309.33 : x
  2. Step 2: Convert to fraction form
    504.42/754.88 = 309.33/x
  3. Step 3: Cross multiply
    504.42x = 754.88 × 309.33
  4. Step 4: Simplify right side
    504.42x = 233,505.48
  5. Step 5: Solve for x
    x = 233,505.48/504.42
  6. Step 6: Final answer
    x = 462.92

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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.