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Finding the Fourth Proportional to 628.07, 866.85 and 418.25

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Solution

The fourth proportional to 628.07, 866.85 and 418.25 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.07 : 866.85 = 418.25 : x
  2. Step 2: Convert to fraction form
    628.07/866.85 = 418.25/x
  3. Step 3: Cross multiply
    628.07x = 866.85 × 418.25
  4. Step 4: Simplify right side
    628.07x = 362,560.01
  5. Step 5: Solve for x
    x = 362,560.01/628.07
  6. Step 6: Final answer
    x = 577.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.