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Finding the Fourth Proportional to 945.40, 1,419 and 580.90

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Solution

The fourth proportional to 945.40, 1,419 and 580.90 is: 871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.40 : 1,419 = 580.90 : x
  2. Step 2: Convert to fraction form
    945.40/1,419 = 580.90/x
  3. Step 3: Cross multiply
    945.40x = 1,419 × 580.90
  4. Step 4: Simplify right side
    945.40x = 824,297.10
  5. Step 5: Solve for x
    x = 824,297.10/945.40
  6. Step 6: Final answer
    x = 871.90

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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.