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Finding the Fourth Proportional to 607.49, 838.59 and 411.27

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Solution

The fourth proportional to 607.49, 838.59 and 411.27 is: 567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.49 : 838.59 = 411.27 : x
  2. Step 2: Convert to fraction form
    607.49/838.59 = 411.27/x
  3. Step 3: Cross multiply
    607.49x = 838.59 × 411.27
  4. Step 4: Simplify right side
    607.49x = 344,886.91
  5. Step 5: Solve for x
    x = 344,886.91/607.49
  6. Step 6: Final answer
    x = 567.72

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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.