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Finding the Fourth Proportional to 1,398.64, 2,098.08 and 520.87

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Solution

The fourth proportional to 1,398.64, 2,098.08 and 520.87 is: 781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.64 : 2,098.08 = 520.87 : x
  2. Step 2: Convert to fraction form
    1,398.64/2,098.08 = 520.87/x
  3. Step 3: Cross multiply
    1,398.64x = 2,098.08 × 520.87
  4. Step 4: Simplify right side
    1,398.64x = 1,092,826.93
  5. Step 5: Solve for x
    x = 1,092,826.93/1,398.64
  6. Step 6: Final answer
    x = 781.35

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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.