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Finding the Fourth Proportional to 585.20, 807.56 and 336.49

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Solution

The fourth proportional to 585.20, 807.56 and 336.49 is: 464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.20 : 807.56 = 336.49 : x
  2. Step 2: Convert to fraction form
    585.20/807.56 = 336.49/x
  3. Step 3: Cross multiply
    585.20x = 807.56 × 336.49
  4. Step 4: Simplify right side
    585.20x = 271,735.86
  5. Step 5: Solve for x
    x = 271,735.86/585.20
  6. Step 6: Final answer
    x = 464.35

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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.