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Finding the Fourth Proportional to 1,014.13, 1,399.48 and 572.04

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Solution

The fourth proportional to 1,014.13, 1,399.48 and 572.04 is: 789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.13 : 1,399.48 = 572.04 : x
  2. Step 2: Convert to fraction form
    1,014.13/1,399.48 = 572.04/x
  3. Step 3: Cross multiply
    1,014.13x = 1,399.48 × 572.04
  4. Step 4: Simplify right side
    1,014.13x = 800,557.11
  5. Step 5: Solve for x
    x = 800,557.11/1,014.13
  6. Step 6: Final answer
    x = 789.40

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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.