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Finding the Fourth Proportional to 585.83, 808.79 and 389.61

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Solution

The fourth proportional to 585.83, 808.79 and 389.61 is: 537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.83 : 808.79 = 389.61 : x
  2. Step 2: Convert to fraction form
    585.83/808.79 = 389.61/x
  3. Step 3: Cross multiply
    585.83x = 808.79 × 389.61
  4. Step 4: Simplify right side
    585.83x = 315,110.72
  5. Step 5: Solve for x
    x = 315,110.72/585.83
  6. Step 6: Final answer
    x = 537.89

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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.