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Finding the Fourth Proportional to 404.16, 602.43 and 383.64

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Solution

The fourth proportional to 404.16, 602.43 and 383.64 is: 571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.16 : 602.43 = 383.64 : x
  2. Step 2: Convert to fraction form
    404.16/602.43 = 383.64/x
  3. Step 3: Cross multiply
    404.16x = 602.43 × 383.64
  4. Step 4: Simplify right side
    404.16x = 231,116.25
  5. Step 5: Solve for x
    x = 231,116.25/404.16
  6. Step 6: Final answer
    x = 571.84

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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.