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Finding the Fourth Proportional to 949.85, 1,423.20 and 583.86

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Solution

The fourth proportional to 949.85, 1,423.20 and 583.86 is: 874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.85 : 1,423.20 = 583.86 : x
  2. Step 2: Convert to fraction form
    949.85/1,423.20 = 583.86/x
  3. Step 3: Cross multiply
    949.85x = 1,423.20 × 583.86
  4. Step 4: Simplify right side
    949.85x = 830,949.55
  5. Step 5: Solve for x
    x = 830,949.55/949.85
  6. Step 6: Final answer
    x = 874.83

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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.