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Finding the Fourth Proportional to 456.01, 687.07 and 412.73

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Solution

The fourth proportional to 456.01, 687.07 and 412.73 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.01 : 687.07 = 412.73 : x
  2. Step 2: Convert to fraction form
    456.01/687.07 = 412.73/x
  3. Step 3: Cross multiply
    456.01x = 687.07 × 412.73
  4. Step 4: Simplify right side
    456.01x = 283,570.97
  5. Step 5: Solve for x
    x = 283,570.97/456.01
  6. Step 6: Final answer
    x = 621.85

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1.5x scale

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.