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Finding the Fourth Proportional to 457.37, 686.27 and 283.98

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Solution

The fourth proportional to 457.37, 686.27 and 283.98 is: 426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.37 : 686.27 = 283.98 : x
  2. Step 2: Convert to fraction form
    457.37/686.27 = 283.98/x
  3. Step 3: Cross multiply
    457.37x = 686.27 × 283.98
  4. Step 4: Simplify right side
    457.37x = 194,887.66
  5. Step 5: Solve for x
    x = 194,887.66/457.37
  6. Step 6: Final answer
    x = 426.11

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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.