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Finding the Fourth Proportional to 460.08, 687.12 and 455.52

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Solution

The fourth proportional to 460.08, 687.12 and 455.52 is: 680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.08 : 687.12 = 455.52 : x
  2. Step 2: Convert to fraction form
    460.08/687.12 = 455.52/x
  3. Step 3: Cross multiply
    460.08x = 687.12 × 455.52
  4. Step 4: Simplify right side
    460.08x = 312,996.90
  5. Step 5: Solve for x
    x = 312,996.90/460.08
  6. Step 6: Final answer
    x = 680.31

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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.