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Finding the Fourth Proportional to 460.01, 687.02 and 377.93

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Solution

The fourth proportional to 460.01, 687.02 and 377.93 is: 564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.01 : 687.02 = 377.93 : x
  2. Step 2: Convert to fraction form
    460.01/687.02 = 377.93/x
  3. Step 3: Cross multiply
    460.01x = 687.02 × 377.93
  4. Step 4: Simplify right side
    460.01x = 259,645.47
  5. Step 5: Solve for x
    x = 259,645.47/460.01
  6. Step 6: Final answer
    x = 564.43

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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.