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Finding the Fourth Proportional to 1,097.21, 1,637.33 and 980.42

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Solution

The fourth proportional to 1,097.21, 1,637.33 and 980.42 is: 1,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.21 : 1,637.33 = 980.42 : x
  2. Step 2: Convert to fraction form
    1,097.21/1,637.33 = 980.42/x
  3. Step 3: Cross multiply
    1,097.21x = 1,637.33 × 980.42
  4. Step 4: Simplify right side
    1,097.21x = 1,605,257.99
  5. Step 5: Solve for x
    x = 1,605,257.99/1,097.21
  6. Step 6: Final answer
    x = 1,463.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.