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Finding the Fourth Proportional to 501.95, 754.14 and 319.70

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Solution

The fourth proportional to 501.95, 754.14 and 319.70 is: 480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.95 : 754.14 = 319.70 : x
  2. Step 2: Convert to fraction form
    501.95/754.14 = 319.70/x
  3. Step 3: Cross multiply
    501.95x = 754.14 × 319.70
  4. Step 4: Simplify right side
    501.95x = 241,101.64
  5. Step 5: Solve for x
    x = 241,101.64/501.95
  6. Step 6: Final answer
    x = 480.33

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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.