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Finding the Fourth Proportional to 631.50, 871.47 and 355.50

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Solution

The fourth proportional to 631.50, 871.47 and 355.50 is: 490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.50 : 871.47 = 355.50 : x
  2. Step 2: Convert to fraction form
    631.50/871.47 = 355.50/x
  3. Step 3: Cross multiply
    631.50x = 871.47 × 355.50
  4. Step 4: Simplify right side
    631.50x = 309,807.59
  5. Step 5: Solve for x
    x = 309,807.59/631.50
  6. Step 6: Final answer
    x = 490.59

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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.