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Finding the Fourth Proportional to 607.58, 838.32 and 411.20

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Solution

The fourth proportional to 607.58, 838.32 and 411.20 is: 567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.58 : 838.32 = 411.20 : x
  2. Step 2: Convert to fraction form
    607.58/838.32 = 411.20/x
  3. Step 3: Cross multiply
    607.58x = 838.32 × 411.20
  4. Step 4: Simplify right side
    607.58x = 344,717.18
  5. Step 5: Solve for x
    x = 344,717.18/607.58
  6. Step 6: Final answer
    x = 567.36

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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.