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Finding the Fourth Proportional to 1,398.88, 2,098.53 and 461.53

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Solution

The fourth proportional to 1,398.88, 2,098.53 and 461.53 is: 692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.88 : 2,098.53 = 461.53 : x
  2. Step 2: Convert to fraction form
    1,398.88/2,098.53 = 461.53/x
  3. Step 3: Cross multiply
    1,398.88x = 2,098.53 × 461.53
  4. Step 4: Simplify right side
    1,398.88x = 968,529.30
  5. Step 5: Solve for x
    x = 968,529.30/1,398.88
  6. Step 6: Final answer
    x = 692.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.