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Finding the Fourth Proportional to 457.84, 687.24 and 342.24

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Solution

The fourth proportional to 457.84, 687.24 and 342.24 is: 513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.84 : 687.24 = 342.24 : x
  2. Step 2: Convert to fraction form
    457.84/687.24 = 342.24/x
  3. Step 3: Cross multiply
    457.84x = 687.24 × 342.24
  4. Step 4: Simplify right side
    457.84x = 235,201.02
  5. Step 5: Solve for x
    x = 235,201.02/457.84
  6. Step 6: Final answer
    x = 513.72

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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.