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Finding the Fourth Proportional to 640.40, 883.46 and 404.18

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Solution

The fourth proportional to 640.40, 883.46 and 404.18 is: 557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.40 : 883.46 = 404.18 : x
  2. Step 2: Convert to fraction form
    640.40/883.46 = 404.18/x
  3. Step 3: Cross multiply
    640.40x = 883.46 × 404.18
  4. Step 4: Simplify right side
    640.40x = 357,076.86
  5. Step 5: Solve for x
    x = 357,076.86/640.40
  6. Step 6: Final answer
    x = 557.58

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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.