Home / 1,355.53-2,033.27-431.14

Finding the Fourth Proportional to 1,355.53, 2,033.27 and 431.14

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Solution

The fourth proportional to 1,355.53, 2,033.27 and 431.14 is: 646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.53 : 2,033.27 = 431.14 : x
  2. Step 2: Convert to fraction form
    1,355.53/2,033.27 = 431.14/x
  3. Step 3: Cross multiply
    1,355.53x = 2,033.27 × 431.14
  4. Step 4: Simplify right side
    1,355.53x = 876,616.79
  5. Step 5: Solve for x
    x = 876,616.79/1,355.53
  6. Step 6: Final answer
    x = 646.70

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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.