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Finding the Fourth Proportional to 1,114.92, 1,538.58 and 642.81

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Solution

The fourth proportional to 1,114.92, 1,538.58 and 642.81 is: 887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.92 : 1,538.58 = 642.81 : x
  2. Step 2: Convert to fraction form
    1,114.92/1,538.58 = 642.81/x
  3. Step 3: Cross multiply
    1,114.92x = 1,538.58 × 642.81
  4. Step 4: Simplify right side
    1,114.92x = 989,021.95
  5. Step 5: Solve for x
    x = 989,021.95/1,114.92
  6. Step 6: Final answer
    x = 887.08

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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.