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Finding the Fourth Proportional to 501.39, 753.30 and 319.14

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Solution

The fourth proportional to 501.39, 753.30 and 319.14 is: 479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.39 : 753.30 = 319.14 : x
  2. Step 2: Convert to fraction form
    501.39/753.30 = 319.14/x
  3. Step 3: Cross multiply
    501.39x = 753.30 × 319.14
  4. Step 4: Simplify right side
    501.39x = 240,408.16
  5. Step 5: Solve for x
    x = 240,408.16/501.39
  6. Step 6: Final answer
    x = 479.48

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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.