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Finding the Fourth Proportional to 1,398.00, 2,097.33 and 520.53

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Solution

The fourth proportional to 1,398.00, 2,097.33 and 520.53 is: 780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.00 : 2,097.33 = 520.53 : x
  2. Step 2: Convert to fraction form
    1,398.00/2,097.33 = 520.53/x
  3. Step 3: Cross multiply
    1,398.00x = 2,097.33 × 520.53
  4. Step 4: Simplify right side
    1,398.00x = 1,091,712.70
  5. Step 5: Solve for x
    x = 1,091,712.70/1,398.00
  6. Step 6: Final answer
    x = 780.91

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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.