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Finding the Fourth Proportional to 404.80, 603.64 and 401.32

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Solution

The fourth proportional to 404.80, 603.64 and 401.32 is: 598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.80 : 603.64 = 401.32 : x
  2. Step 2: Convert to fraction form
    404.80/603.64 = 401.32/x
  3. Step 3: Cross multiply
    404.80x = 603.64 × 401.32
  4. Step 4: Simplify right side
    404.80x = 242,252.80
  5. Step 5: Solve for x
    x = 242,252.80/404.80
  6. Step 6: Final answer
    x = 598.45

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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.