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Finding the Fourth Proportional to 712.44, 1,069.32 and 551.16

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Solution

The fourth proportional to 712.44, 1,069.32 and 551.16 is: 827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 1,069.32 = 551.16 : x
  2. Step 2: Convert to fraction form
    712.44/1,069.32 = 551.16/x
  3. Step 3: Cross multiply
    712.44x = 1,069.32 × 551.16
  4. Step 4: Simplify right side
    712.44x = 589,366.41
  5. Step 5: Solve for x
    x = 589,366.41/712.44
  6. Step 6: Final answer
    x = 827.25

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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.