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Finding the Fourth Proportional to 521.48, 719.25 and 355.37

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Solution

The fourth proportional to 521.48, 719.25 and 355.37 is: 490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.48 : 719.25 = 355.37 : x
  2. Step 2: Convert to fraction form
    521.48/719.25 = 355.37/x
  3. Step 3: Cross multiply
    521.48x = 719.25 × 355.37
  4. Step 4: Simplify right side
    521.48x = 255,596.28
  5. Step 5: Solve for x
    x = 255,596.28/521.48
  6. Step 6: Final answer
    x = 490.14

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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.