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Finding the Fourth Proportional to 521.62, 719.85 and 285.58

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Solution

The fourth proportional to 521.62, 719.85 and 285.58 is: 394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.62 : 719.85 = 285.58 : x
  2. Step 2: Convert to fraction form
    521.62/719.85 = 285.58/x
  3. Step 3: Cross multiply
    521.62x = 719.85 × 285.58
  4. Step 4: Simplify right side
    521.62x = 205,576.94
  5. Step 5: Solve for x
    x = 205,576.94/521.62
  6. Step 6: Final answer
    x = 394.11

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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.