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Finding the Fourth Proportional to 417.05, 622.84 and 348.02

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Solution

The fourth proportional to 417.05, 622.84 and 348.02 is: 519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.05 : 622.84 = 348.02 : x
  2. Step 2: Convert to fraction form
    417.05/622.84 = 348.02/x
  3. Step 3: Cross multiply
    417.05x = 622.84 × 348.02
  4. Step 4: Simplify right side
    417.05x = 216,761.53
  5. Step 5: Solve for x
    x = 216,761.53/417.05
  6. Step 6: Final answer
    x = 519.75

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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.