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Finding the Fourth Proportional to 640.17, 883.31 and 404.19

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Solution

The fourth proportional to 640.17, 883.31 and 404.19 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.17 : 883.31 = 404.19 : x
  2. Step 2: Convert to fraction form
    640.17/883.31 = 404.19/x
  3. Step 3: Cross multiply
    640.17x = 883.31 × 404.19
  4. Step 4: Simplify right side
    640.17x = 357,023.05
  5. Step 5: Solve for x
    x = 357,023.05/640.17
  6. Step 6: Final answer
    x = 557.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.