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Finding the Fourth Proportional to 457.76, 689.54 and 452.08

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Solution

The fourth proportional to 457.76, 689.54 and 452.08 is: 680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.76 : 689.54 = 452.08 : x
  2. Step 2: Convert to fraction form
    457.76/689.54 = 452.08/x
  3. Step 3: Cross multiply
    457.76x = 689.54 × 452.08
  4. Step 4: Simplify right side
    457.76x = 311,727.24
  5. Step 5: Solve for x
    x = 311,727.24/457.76
  6. Step 6: Final answer
    x = 680.98

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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.