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Finding the Fourth Proportional to 830.22, 1,144.97 and 655.26

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Solution

The fourth proportional to 830.22, 1,144.97 and 655.26 is: 903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.22 : 1,144.97 = 655.26 : x
  2. Step 2: Convert to fraction form
    830.22/1,144.97 = 655.26/x
  3. Step 3: Cross multiply
    830.22x = 1,144.97 × 655.26
  4. Step 4: Simplify right side
    830.22x = 750,249.77
  5. Step 5: Solve for x
    x = 750,249.77/830.22
  6. Step 6: Final answer
    x = 903.68

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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.