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Finding the Fourth Proportional to 1,019.48, 1,536.02 and 922.09

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Solution

The fourth proportional to 1,019.48, 1,536.02 and 922.09 is: 1,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.48 : 1,536.02 = 922.09 : x
  2. Step 2: Convert to fraction form
    1,019.48/1,536.02 = 922.09/x
  3. Step 3: Cross multiply
    1,019.48x = 1,536.02 × 922.09
  4. Step 4: Simplify right side
    1,019.48x = 1,416,346.38
  5. Step 5: Solve for x
    x = 1,416,346.38/1,019.48
  6. Step 6: Final answer
    x = 1,389.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.