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Finding the Fourth Proportional to 607.20, 837.78 and 513.74

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Solution

The fourth proportional to 607.20, 837.78 and 513.74 is: 708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.20 : 837.78 = 513.74 : x
  2. Step 2: Convert to fraction form
    607.20/837.78 = 513.74/x
  3. Step 3: Cross multiply
    607.20x = 837.78 × 513.74
  4. Step 4: Simplify right side
    607.20x = 430,396.91
  5. Step 5: Solve for x
    x = 430,396.91/607.20
  6. Step 6: Final answer
    x = 708.82

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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.