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Finding the Fourth Proportional to 830.04, 1,144.20 and 682.42

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Solution

The fourth proportional to 830.04, 1,144.20 and 682.42 is: 940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.04 : 1,144.20 = 682.42 : x
  2. Step 2: Convert to fraction form
    830.04/1,144.20 = 682.42/x
  3. Step 3: Cross multiply
    830.04x = 1,144.20 × 682.42
  4. Step 4: Simplify right side
    830.04x = 780,824.96
  5. Step 5: Solve for x
    x = 780,824.96/830.04
  6. Step 6: Final answer
    x = 940.70

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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.