Home / 1,356.24-2,033.74-431.62

Finding the Fourth Proportional to 1,356.24, 2,033.74 and 431.62

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Solution

The fourth proportional to 1,356.24, 2,033.74 and 431.62 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.24 : 2,033.74 = 431.62 : x
  2. Step 2: Convert to fraction form
    1,356.24/2,033.74 = 431.62/x
  3. Step 3: Cross multiply
    1,356.24x = 2,033.74 × 431.62
  4. Step 4: Simplify right side
    1,356.24x = 877,802.86
  5. Step 5: Solve for x
    x = 877,802.86/1,356.24
  6. Step 6: Final answer
    x = 647.23

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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.