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Finding the Fourth Proportional to 640.77, 884.52 and 404.91

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Solution

The fourth proportional to 640.77, 884.52 and 404.91 is: 558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.77 : 884.52 = 404.91 : x
  2. Step 2: Convert to fraction form
    640.77/884.52 = 404.91/x
  3. Step 3: Cross multiply
    640.77x = 884.52 × 404.91
  4. Step 4: Simplify right side
    640.77x = 358,150.99
  5. Step 5: Solve for x
    x = 358,150.99/640.77
  6. Step 6: Final answer
    x = 558.94

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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.