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Finding the Fourth Proportional to 507.17, 699.52 and 382.61

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Solution

The fourth proportional to 507.17, 699.52 and 382.61 is: 527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.17 : 699.52 = 382.61 : x
  2. Step 2: Convert to fraction form
    507.17/699.52 = 382.61/x
  3. Step 3: Cross multiply
    507.17x = 699.52 × 382.61
  4. Step 4: Simplify right side
    507.17x = 267,643.35
  5. Step 5: Solve for x
    x = 267,643.35/507.17
  6. Step 6: Final answer
    x = 527.72

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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.