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Finding the Fourth Proportional to 585.57, 808 and 389.35

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Solution

The fourth proportional to 585.57, 808 and 389.35 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.57 : 808 = 389.35 : x
  2. Step 2: Convert to fraction form
    585.57/808 = 389.35/x
  3. Step 3: Cross multiply
    585.57x = 808 × 389.35
  4. Step 4: Simplify right side
    585.57x = 314,594.80
  5. Step 5: Solve for x
    x = 314,594.80/585.57
  6. Step 6: Final answer
    x = 537.25

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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.