Home / 1,295.75-1,943.69-430.13

Finding the Fourth Proportional to 1,295.75, 1,943.69 and 430.13

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Solution

The fourth proportional to 1,295.75, 1,943.69 and 430.13 is: 645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.75 : 1,943.69 = 430.13 : x
  2. Step 2: Convert to fraction form
    1,295.75/1,943.69 = 430.13/x
  3. Step 3: Cross multiply
    1,295.75x = 1,943.69 × 430.13
  4. Step 4: Simplify right side
    1,295.75x = 836,039.38
  5. Step 5: Solve for x
    x = 836,039.38/1,295.75
  6. Step 6: Final answer
    x = 645.22

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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.