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Finding the Fourth Proportional to 595.10, 892.21 and 286.67

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Solution

The fourth proportional to 595.10, 892.21 and 286.67 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.10 : 892.21 = 286.67 : x
  2. Step 2: Convert to fraction form
    595.10/892.21 = 286.67/x
  3. Step 3: Cross multiply
    595.10x = 892.21 × 286.67
  4. Step 4: Simplify right side
    595.10x = 255,763.95
  5. Step 5: Solve for x
    x = 255,763.95/595.10
  6. Step 6: Final answer
    x = 429.78

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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.