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Finding the Fourth Proportional to 457.30, 680.46 and 455.76

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Solution

The fourth proportional to 457.30, 680.46 and 455.76 is: 678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.30 : 680.46 = 455.76 : x
  2. Step 2: Convert to fraction form
    457.30/680.46 = 455.76/x
  3. Step 3: Cross multiply
    457.30x = 680.46 × 455.76
  4. Step 4: Simplify right side
    457.30x = 310,126.45
  5. Step 5: Solve for x
    x = 310,126.45/457.30
  6. Step 6: Final answer
    x = 678.17

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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.