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Finding the Fourth Proportional to 1,020.11, 1,407.81 and 572.02

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Solution

The fourth proportional to 1,020.11, 1,407.81 and 572.02 is: 789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.11 : 1,407.81 = 572.02 : x
  2. Step 2: Convert to fraction form
    1,020.11/1,407.81 = 572.02/x
  3. Step 3: Cross multiply
    1,020.11x = 1,407.81 × 572.02
  4. Step 4: Simplify right side
    1,020.11x = 805,293.39
  5. Step 5: Solve for x
    x = 805,293.39/1,020.11
  6. Step 6: Final answer
    x = 789.42

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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.