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Finding the Fourth Proportional to 1,433.42, 2,151.45 and 886.67

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Solution

The fourth proportional to 1,433.42, 2,151.45 and 886.67 is: 1,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.42 : 2,151.45 = 886.67 : x
  2. Step 2: Convert to fraction form
    1,433.42/2,151.45 = 886.67/x
  3. Step 3: Cross multiply
    1,433.42x = 2,151.45 × 886.67
  4. Step 4: Simplify right side
    1,433.42x = 1,907,626.17
  5. Step 5: Solve for x
    x = 1,907,626.17/1,433.42
  6. Step 6: Final answer
    x = 1,330.82

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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.