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Finding the Fourth Proportional to 1,068.28, 1,602.47 and 451.97

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Solution

The fourth proportional to 1,068.28, 1,602.47 and 451.97 is: 677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.28 : 1,602.47 = 451.97 : x
  2. Step 2: Convert to fraction form
    1,068.28/1,602.47 = 451.97/x
  3. Step 3: Cross multiply
    1,068.28x = 1,602.47 × 451.97
  4. Step 4: Simplify right side
    1,068.28x = 724,268.37
  5. Step 5: Solve for x
    x = 724,268.37/1,068.28
  6. Step 6: Final answer
    x = 677.98

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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.