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Finding the Fourth Proportional to 610.38, 918.63 and 457.11

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Solution

The fourth proportional to 610.38, 918.63 and 457.11 is: 687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.38 : 918.63 = 457.11 : x
  2. Step 2: Convert to fraction form
    610.38/918.63 = 457.11/x
  3. Step 3: Cross multiply
    610.38x = 918.63 × 457.11
  4. Step 4: Simplify right side
    610.38x = 419,914.96
  5. Step 5: Solve for x
    x = 419,914.96/610.38
  6. Step 6: Final answer
    x = 687.96

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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.