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Finding the Fourth Proportional to 509.39, 763.18 and 346.49

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Solution

The fourth proportional to 509.39, 763.18 and 346.49 is: 519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.39 : 763.18 = 346.49 : x
  2. Step 2: Convert to fraction form
    509.39/763.18 = 346.49/x
  3. Step 3: Cross multiply
    509.39x = 763.18 × 346.49
  4. Step 4: Simplify right side
    509.39x = 264,434.24
  5. Step 5: Solve for x
    x = 264,434.24/509.39
  6. Step 6: Final answer
    x = 519.12

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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.