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Finding the Fourth Proportional to 585.28, 807.72 and 352.44

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Solution

The fourth proportional to 585.28, 807.72 and 352.44 is: 486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.28 : 807.72 = 352.44 : x
  2. Step 2: Convert to fraction form
    585.28/807.72 = 352.44/x
  3. Step 3: Cross multiply
    585.28x = 807.72 × 352.44
  4. Step 4: Simplify right side
    585.28x = 284,672.84
  5. Step 5: Solve for x
    x = 284,672.84/585.28
  6. Step 6: Final answer
    x = 486.39

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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.