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Finding the Fourth Proportional to 417.06, 622.52 and 355.74

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Solution

The fourth proportional to 417.06, 622.52 and 355.74 is: 530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 622.52 = 355.74 : x
  2. Step 2: Convert to fraction form
    417.06/622.52 = 355.74/x
  3. Step 3: Cross multiply
    417.06x = 622.52 × 355.74
  4. Step 4: Simplify right side
    417.06x = 221,453.49
  5. Step 5: Solve for x
    x = 221,453.49/417.06
  6. Step 6: Final answer
    x = 530.99

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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.