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Finding the Fourth Proportional to 585.28, 807.68 and 336.74

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Solution

The fourth proportional to 585.28, 807.68 and 336.74 is: 464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.28 : 807.68 = 336.74 : x
  2. Step 2: Convert to fraction form
    585.28/807.68 = 336.74/x
  3. Step 3: Cross multiply
    585.28x = 807.68 × 336.74
  4. Step 4: Simplify right side
    585.28x = 271,981.02
  5. Step 5: Solve for x
    x = 271,981.02/585.28
  6. Step 6: Final answer
    x = 464.70

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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.