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Finding the Fourth Proportional to 590.07, 885.71 and 406.83

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Solution

The fourth proportional to 590.07, 885.71 and 406.83 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.07 : 885.71 = 406.83 : x
  2. Step 2: Convert to fraction form
    590.07/885.71 = 406.83/x
  3. Step 3: Cross multiply
    590.07x = 885.71 × 406.83
  4. Step 4: Simplify right side
    590.07x = 360,331.37
  5. Step 5: Solve for x
    x = 360,331.37/590.07
  6. Step 6: Final answer
    x = 610.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.