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Finding the Fourth Proportional to 698.29, 963.56 and 418.51

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Solution

The fourth proportional to 698.29, 963.56 and 418.51 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.29 : 963.56 = 418.51 : x
  2. Step 2: Convert to fraction form
    698.29/963.56 = 418.51/x
  3. Step 3: Cross multiply
    698.29x = 963.56 × 418.51
  4. Step 4: Simplify right side
    698.29x = 403,259.50
  5. Step 5: Solve for x
    x = 403,259.50/698.29
  6. Step 6: Final answer
    x = 577.50

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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.