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Finding the Fourth Proportional to 457.71, 687.37 and 355.11

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Solution

The fourth proportional to 457.71, 687.37 and 355.11 is: 533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.71 : 687.37 = 355.11 : x
  2. Step 2: Convert to fraction form
    457.71/687.37 = 355.11/x
  3. Step 3: Cross multiply
    457.71x = 687.37 × 355.11
  4. Step 4: Simplify right side
    457.71x = 244,091.96
  5. Step 5: Solve for x
    x = 244,091.96/457.71
  6. Step 6: Final answer
    x = 533.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.