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Finding the Fourth Proportional to 457.68, 689.48 and 452.01

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Solution

The fourth proportional to 457.68, 689.48 and 452.01 is: 680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.68 : 689.48 = 452.01 : x
  2. Step 2: Convert to fraction form
    457.68/689.48 = 452.01/x
  3. Step 3: Cross multiply
    457.68x = 689.48 × 452.01
  4. Step 4: Simplify right side
    457.68x = 311,651.85
  5. Step 5: Solve for x
    x = 311,651.85/457.68
  6. Step 6: Final answer
    x = 680.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.