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Finding the Fourth Proportional to 834.02, 1,150.41 and 522.98

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Solution

The fourth proportional to 834.02, 1,150.41 and 522.98 is: 721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.02 : 1,150.41 = 522.98 : x
  2. Step 2: Convert to fraction form
    834.02/1,150.41 = 522.98/x
  3. Step 3: Cross multiply
    834.02x = 1,150.41 × 522.98
  4. Step 4: Simplify right side
    834.02x = 601,641.42
  5. Step 5: Solve for x
    x = 601,641.42/834.02
  6. Step 6: Final answer
    x = 721.38

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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.