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Finding the Fourth Proportional to 712.81, 1,069.62 and 404.47

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Solution

The fourth proportional to 712.81, 1,069.62 and 404.47 is: 606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.81 : 1,069.62 = 404.47 : x
  2. Step 2: Convert to fraction form
    712.81/1,069.62 = 404.47/x
  3. Step 3: Cross multiply
    712.81x = 1,069.62 × 404.47
  4. Step 4: Simplify right side
    712.81x = 432,629.20
  5. Step 5: Solve for x
    x = 432,629.20/712.81
  6. Step 6: Final answer
    x = 606.93

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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.