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Finding the Fourth Proportional to 507.04, 698.58 and 396.52

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Solution

The fourth proportional to 507.04, 698.58 and 396.52 is: 546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.04 : 698.58 = 396.52 : x
  2. Step 2: Convert to fraction form
    507.04/698.58 = 396.52/x
  3. Step 3: Cross multiply
    507.04x = 698.58 × 396.52
  4. Step 4: Simplify right side
    507.04x = 277,000.94
  5. Step 5: Solve for x
    x = 277,000.94/507.04
  6. Step 6: Final answer
    x = 546.31

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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.