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Finding the Fourth Proportional to 847.28, 1,169.34 and 716.24

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Solution

The fourth proportional to 847.28, 1,169.34 and 716.24 is: 988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.28 : 1,169.34 = 716.24 : x
  2. Step 2: Convert to fraction form
    847.28/1,169.34 = 716.24/x
  3. Step 3: Cross multiply
    847.28x = 1,169.34 × 716.24
  4. Step 4: Simplify right side
    847.28x = 837,528.08
  5. Step 5: Solve for x
    x = 837,528.08/847.28
  6. Step 6: Final answer
    x = 988.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.