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Finding the Fourth Proportional to 698.55, 963.95 and 418.93

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Solution

The fourth proportional to 698.55, 963.95 and 418.93 is: 578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.55 : 963.95 = 418.93 : x
  2. Step 2: Convert to fraction form
    698.55/963.95 = 418.93/x
  3. Step 3: Cross multiply
    698.55x = 963.95 × 418.93
  4. Step 4: Simplify right side
    698.55x = 403,822.75
  5. Step 5: Solve for x
    x = 403,822.75/698.55
  6. Step 6: Final answer
    x = 578.09

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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.