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Finding the Fourth Proportional to 874.67, 1,311.59 and 509.57

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Solution

The fourth proportional to 874.67, 1,311.59 and 509.57 is: 764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.67 : 1,311.59 = 509.57 : x
  2. Step 2: Convert to fraction form
    874.67/1,311.59 = 509.57/x
  3. Step 3: Cross multiply
    874.67x = 1,311.59 × 509.57
  4. Step 4: Simplify right side
    874.67x = 668,337.81
  5. Step 5: Solve for x
    x = 668,337.81/874.67
  6. Step 6: Final answer
    x = 764.11

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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.