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Finding the Fourth Proportional to 457.50, 681.40 and 434.37

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Solution

The fourth proportional to 457.50, 681.40 and 434.37 is: 646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.50 : 681.40 = 434.37 : x
  2. Step 2: Convert to fraction form
    457.50/681.40 = 434.37/x
  3. Step 3: Cross multiply
    457.50x = 681.40 × 434.37
  4. Step 4: Simplify right side
    457.50x = 295,979.72
  5. Step 5: Solve for x
    x = 295,979.72/457.50
  6. Step 6: Final answer
    x = 646.95

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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.