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Finding the Fourth Proportional to 945.81, 1,420.11 and 582.12

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Solution

The fourth proportional to 945.81, 1,420.11 and 582.12 is: 874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.81 : 1,420.11 = 582.12 : x
  2. Step 2: Convert to fraction form
    945.81/1,420.11 = 582.12/x
  3. Step 3: Cross multiply
    945.81x = 1,420.11 × 582.12
  4. Step 4: Simplify right side
    945.81x = 826,674.43
  5. Step 5: Solve for x
    x = 826,674.43/945.81
  6. Step 6: Final answer
    x = 874.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.