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Finding the Fourth Proportional to 712.65, 1,066.14 and 572.70

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Solution

The fourth proportional to 712.65, 1,066.14 and 572.70 is: 856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.65 : 1,066.14 = 572.70 : x
  2. Step 2: Convert to fraction form
    712.65/1,066.14 = 572.70/x
  3. Step 3: Cross multiply
    712.65x = 1,066.14 × 572.70
  4. Step 4: Simplify right side
    712.65x = 610,578.38
  5. Step 5: Solve for x
    x = 610,578.38/712.65
  6. Step 6: Final answer
    x = 856.77

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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.