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Finding the Fourth Proportional to 1,295.85, 1,943.73 and 430.14

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Solution

The fourth proportional to 1,295.85, 1,943.73 and 430.14 is: 645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.85 : 1,943.73 = 430.14 : x
  2. Step 2: Convert to fraction form
    1,295.85/1,943.73 = 430.14/x
  3. Step 3: Cross multiply
    1,295.85x = 1,943.73 × 430.14
  4. Step 4: Simplify right side
    1,295.85x = 836,076.02
  5. Step 5: Solve for x
    x = 836,076.02/1,295.85
  6. Step 6: Final answer
    x = 645.20

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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.