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Finding the Fourth Proportional to 507.39, 763.85 and 346.09

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Solution

The fourth proportional to 507.39, 763.85 and 346.09 is: 521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.39 : 763.85 = 346.09 : x
  2. Step 2: Convert to fraction form
    507.39/763.85 = 346.09/x
  3. Step 3: Cross multiply
    507.39x = 763.85 × 346.09
  4. Step 4: Simplify right side
    507.39x = 264,360.85
  5. Step 5: Solve for x
    x = 264,360.85/507.39
  6. Step 6: Final answer
    x = 521.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.