Home / 1,296.16-1,943.82-430.24

Finding the Fourth Proportional to 1,296.16, 1,943.82 and 430.24

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Solution

The fourth proportional to 1,296.16, 1,943.82 and 430.24 is: 645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.16 : 1,943.82 = 430.24 : x
  2. Step 2: Convert to fraction form
    1,296.16/1,943.82 = 430.24/x
  3. Step 3: Cross multiply
    1,296.16x = 1,943.82 × 430.24
  4. Step 4: Simplify right side
    1,296.16x = 836,309.12
  5. Step 5: Solve for x
    x = 836,309.12/1,296.16
  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.