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Finding the Fourth Proportional to 712.14, 976.10 and 709.03

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Solution

The fourth proportional to 712.14, 976.10 and 709.03 is: 971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.14 : 976.10 = 709.03 : x
  2. Step 2: Convert to fraction form
    712.14/976.10 = 709.03/x
  3. Step 3: Cross multiply
    712.14x = 976.10 × 709.03
  4. Step 4: Simplify right side
    712.14x = 692,083.10
  5. Step 5: Solve for x
    x = 692,083.10/712.14
  6. Step 6: Final answer
    x = 971.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.