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Finding the Fourth Proportional to 507.34, 699.78 and 389.62

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Solution

The fourth proportional to 507.34, 699.78 and 389.62 is: 537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.34 : 699.78 = 389.62 : x
  2. Step 2: Convert to fraction form
    507.34/699.78 = 389.62/x
  3. Step 3: Cross multiply
    507.34x = 699.78 × 389.62
  4. Step 4: Simplify right side
    507.34x = 272,648.28
  5. Step 5: Solve for x
    x = 272,648.28/507.34
  6. Step 6: Final answer
    x = 537.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.