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Finding the Fourth Proportional to 712.13, 1,066.33 and 572.56

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Solution

The fourth proportional to 712.13, 1,066.33 and 572.56 is: 857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 1,066.33 = 572.56 : x
  2. Step 2: Convert to fraction form
    712.13/1,066.33 = 572.56/x
  3. Step 3: Cross multiply
    712.13x = 1,066.33 × 572.56
  4. Step 4: Simplify right side
    712.13x = 610,538.79
  5. Step 5: Solve for x
    x = 610,538.79/712.13
  6. Step 6: Final answer
    x = 857.34

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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.