Home / 1,119.48-1,541.10-922.68

Finding the Fourth Proportional to 1,119.48, 1,541.10 and 922.68

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Solution

The fourth proportional to 1,119.48, 1,541.10 and 922.68 is: 1,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.48 : 1,541.10 = 922.68 : x
  2. Step 2: Convert to fraction form
    1,119.48/1,541.10 = 922.68/x
  3. Step 3: Cross multiply
    1,119.48x = 1,541.10 × 922.68
  4. Step 4: Simplify right side
    1,119.48x = 1,421,942.15
  5. Step 5: Solve for x
    x = 1,421,942.15/1,119.48
  6. Step 6: Final answer
    x = 1,270.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.