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Finding the Fourth Proportional to 1,295.38, 1,943.34 and 429.67

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Solution

The fourth proportional to 1,295.38, 1,943.34 and 429.67 is: 644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.38 : 1,943.34 = 429.67 : x
  2. Step 2: Convert to fraction form
    1,295.38/1,943.34 = 429.67/x
  3. Step 3: Cross multiply
    1,295.38x = 1,943.34 × 429.67
  4. Step 4: Simplify right side
    1,295.38x = 834,994.90
  5. Step 5: Solve for x
    x = 834,994.90/1,295.38
  6. Step 6: Final answer
    x = 644.59

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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.