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Finding the Fourth Proportional to 712.16, 1,063.84 and 528.56

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Solution

The fourth proportional to 712.16, 1,063.84 and 528.56 is: 789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.16 : 1,063.84 = 528.56 : x
  2. Step 2: Convert to fraction form
    712.16/1,063.84 = 528.56/x
  3. Step 3: Cross multiply
    712.16x = 1,063.84 × 528.56
  4. Step 4: Simplify right side
    712.16x = 562,303.27
  5. Step 5: Solve for x
    x = 562,303.27/712.16
  6. Step 6: Final answer
    x = 789.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.