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Finding the Fourth Proportional to 585.36, 808.18 and 406.24

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Solution

The fourth proportional to 585.36, 808.18 and 406.24 is: 560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.36 : 808.18 = 406.24 : x
  2. Step 2: Convert to fraction form
    585.36/808.18 = 406.24/x
  3. Step 3: Cross multiply
    585.36x = 808.18 × 406.24
  4. Step 4: Simplify right side
    585.36x = 328,315.04
  5. Step 5: Solve for x
    x = 328,315.04/585.36
  6. Step 6: Final answer
    x = 560.88

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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.