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Finding the Fourth Proportional to 1,398.83, 2,098.67 and 424.94

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Solution

The fourth proportional to 1,398.83, 2,098.67 and 424.94 is: 637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.83 : 2,098.67 = 424.94 : x
  2. Step 2: Convert to fraction form
    1,398.83/2,098.67 = 424.94/x
  3. Step 3: Cross multiply
    1,398.83x = 2,098.67 × 424.94
  4. Step 4: Simplify right side
    1,398.83x = 891,796.21
  5. Step 5: Solve for x
    x = 891,796.21/1,398.83
  6. Step 6: Final answer
    x = 637.53

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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.