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Finding the Fourth Proportional to 1,115.06, 1,538.73 and 642.83

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Solution

The fourth proportional to 1,115.06, 1,538.73 and 642.83 is: 887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.06 : 1,538.73 = 642.83 : x
  2. Step 2: Convert to fraction form
    1,115.06/1,538.73 = 642.83/x
  3. Step 3: Cross multiply
    1,115.06x = 1,538.73 × 642.83
  4. Step 4: Simplify right side
    1,115.06x = 989,134.11
  5. Step 5: Solve for x
    x = 989,134.11/1,115.06
  6. Step 6: Final answer
    x = 887.07

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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.