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Finding the Fourth Proportional to 712.27, 977.13 and 693.08

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Solution

The fourth proportional to 712.27, 977.13 and 693.08 is: 950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.27 : 977.13 = 693.08 : x
  2. Step 2: Convert to fraction form
    712.27/977.13 = 693.08/x
  3. Step 3: Cross multiply
    712.27x = 977.13 × 693.08
  4. Step 4: Simplify right side
    712.27x = 677,229.26
  5. Step 5: Solve for x
    x = 677,229.26/712.27
  6. Step 6: Final answer
    x = 950.80

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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.