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Finding the Fourth Proportional to 417.42, 622.68 and 355.86

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Solution

The fourth proportional to 417.42, 622.68 and 355.86 is: 530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 622.68 = 355.86 : x
  2. Step 2: Convert to fraction form
    417.42/622.68 = 355.86/x
  3. Step 3: Cross multiply
    417.42x = 622.68 × 355.86
  4. Step 4: Simplify right side
    417.42x = 221,586.90
  5. Step 5: Solve for x
    x = 221,586.90/417.42
  6. Step 6: Final answer
    x = 530.85

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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.