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Finding the Fourth Proportional to 457.26, 686.51 and 389.22

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Solution

The fourth proportional to 457.26, 686.51 and 389.22 is: 584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.26 : 686.51 = 389.22 : x
  2. Step 2: Convert to fraction form
    457.26/686.51 = 389.22/x
  3. Step 3: Cross multiply
    457.26x = 686.51 × 389.22
  4. Step 4: Simplify right side
    457.26x = 267,201.48
  5. Step 5: Solve for x
    x = 267,201.48/457.26
  6. Step 6: Final answer
    x = 584.35

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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.