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Finding the Fourth Proportional to 585.63, 808.43 and 409.18

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Solution

The fourth proportional to 585.63, 808.43 and 409.18 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.63 : 808.43 = 409.18 : x
  2. Step 2: Convert to fraction form
    585.63/808.43 = 409.18/x
  3. Step 3: Cross multiply
    585.63x = 808.43 × 409.18
  4. Step 4: Simplify right side
    585.63x = 330,790.86
  5. Step 5: Solve for x
    x = 330,790.86/585.63
  6. Step 6: Final answer
    x = 564.85

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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.