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Finding the Fourth Proportional to 457.00, 681.15 and 431.05

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Solution

The fourth proportional to 457.00, 681.15 and 431.05 is: 642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.00 : 681.15 = 431.05 : x
  2. Step 2: Convert to fraction form
    457.00/681.15 = 431.05/x
  3. Step 3: Cross multiply
    457.00x = 681.15 × 431.05
  4. Step 4: Simplify right side
    457.00x = 293,604.15
  5. Step 5: Solve for x
    x = 293,604.15/457.00
  6. Step 6: Final answer
    x = 642.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.