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Finding the Fourth Proportional to 712.04, 1,073.53 and 699.28

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Solution

The fourth proportional to 712.04, 1,073.53 and 699.28 is: 1,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.04 : 1,073.53 = 699.28 : x
  2. Step 2: Convert to fraction form
    712.04/1,073.53 = 699.28/x
  3. Step 3: Cross multiply
    712.04x = 1,073.53 × 699.28
  4. Step 4: Simplify right side
    712.04x = 750,692.69
  5. Step 5: Solve for x
    x = 750,692.69/712.04
  6. Step 6: Final answer
    x = 1,054.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.