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Finding the Fourth Proportional to 1,295.83, 1,943.02 and 429.67

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Solution

The fourth proportional to 1,295.83, 1,943.02 and 429.67 is: 644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.83 : 1,943.02 = 429.67 : x
  2. Step 2: Convert to fraction form
    1,295.83/1,943.02 = 429.67/x
  3. Step 3: Cross multiply
    1,295.83x = 1,943.02 × 429.67
  4. Step 4: Simplify right side
    1,295.83x = 834,857.40
  5. Step 5: Solve for x
    x = 834,857.40/1,295.83
  6. Step 6: Final answer
    x = 644.26

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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.