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Finding the Fourth Proportional to 404.32, 602.94 and 400.67

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Solution

The fourth proportional to 404.32, 602.94 and 400.67 is: 597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.32 : 602.94 = 400.67 : x
  2. Step 2: Convert to fraction form
    404.32/602.94 = 400.67/x
  3. Step 3: Cross multiply
    404.32x = 602.94 × 400.67
  4. Step 4: Simplify right side
    404.32x = 241,579.97
  5. Step 5: Solve for x
    x = 241,579.97/404.32
  6. Step 6: Final answer
    x = 597.50

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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.