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Finding the Fourth Proportional to 404.42, 607.44 and 378.50

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Solution

The fourth proportional to 404.42, 607.44 and 378.50 is: 568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.42 : 607.44 = 378.50 : x
  2. Step 2: Convert to fraction form
    404.42/607.44 = 378.50/x
  3. Step 3: Cross multiply
    404.42x = 607.44 × 378.50
  4. Step 4: Simplify right side
    404.42x = 229,916.04
  5. Step 5: Solve for x
    x = 229,916.04/404.42
  6. Step 6: Final answer
    x = 568.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.