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Finding the Fourth Proportional to 418.53, 624.75 and 383.91

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Solution

The fourth proportional to 418.53, 624.75 and 383.91 is: 573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.53 : 624.75 = 383.91 : x
  2. Step 2: Convert to fraction form
    418.53/624.75 = 383.91/x
  3. Step 3: Cross multiply
    418.53x = 624.75 × 383.91
  4. Step 4: Simplify right side
    418.53x = 239,847.77
  5. Step 5: Solve for x
    x = 239,847.77/418.53
  6. Step 6: Final answer
    x = 573.07

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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.