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Finding the Fourth Proportional to 922.03, 1,381.60 and 784.51

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Solution

The fourth proportional to 922.03, 1,381.60 and 784.51 is: 1,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.03 : 1,381.60 = 784.51 : x
  2. Step 2: Convert to fraction form
    922.03/1,381.60 = 784.51/x
  3. Step 3: Cross multiply
    922.03x = 1,381.60 × 784.51
  4. Step 4: Simplify right side
    922.03x = 1,083,879.02
  5. Step 5: Solve for x
    x = 1,083,879.02/922.03
  6. Step 6: Final answer
    x = 1,175.54

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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.