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Finding the Fourth Proportional to 404.87, 610.77 and 392.59

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Solution

The fourth proportional to 404.87, 610.77 and 392.59 is: 592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.87 : 610.77 = 392.59 : x
  2. Step 2: Convert to fraction form
    404.87/610.77 = 392.59/x
  3. Step 3: Cross multiply
    404.87x = 610.77 × 392.59
  4. Step 4: Simplify right side
    404.87x = 239,782.19
  5. Step 5: Solve for x
    x = 239,782.19/404.87
  6. Step 6: Final answer
    x = 592.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.