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Finding the Fourth Proportional to 417.06, 621.45 and 397.41

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Solution

The fourth proportional to 417.06, 621.45 and 397.41 is: 592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 621.45 = 397.41 : x
  2. Step 2: Convert to fraction form
    417.06/621.45 = 397.41/x
  3. Step 3: Cross multiply
    417.06x = 621.45 × 397.41
  4. Step 4: Simplify right side
    417.06x = 246,970.44
  5. Step 5: Solve for x
    x = 246,970.44/417.06
  6. Step 6: Final answer
    x = 592.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.