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Finding the Fourth Proportional to 816.88, 1,217.44 and 810.08

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Solution

The fourth proportional to 816.88, 1,217.44 and 810.08 is: 1,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.88 : 1,217.44 = 810.08 : x
  2. Step 2: Convert to fraction form
    816.88/1,217.44 = 810.08/x
  3. Step 3: Cross multiply
    816.88x = 1,217.44 × 810.08
  4. Step 4: Simplify right side
    816.88x = 986,223.80
  5. Step 5: Solve for x
    x = 986,223.80/816.88
  6. Step 6: Final answer
    x = 1,207.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.