Home / 1,357.23-2,035.85-432.80

Finding the Fourth Proportional to 1,357.23, 2,035.85 and 432.80

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Solution

The fourth proportional to 1,357.23, 2,035.85 and 432.80 is: 649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.23 : 2,035.85 = 432.80 : x
  2. Step 2: Convert to fraction form
    1,357.23/2,035.85 = 432.80/x
  3. Step 3: Cross multiply
    1,357.23x = 2,035.85 × 432.80
  4. Step 4: Simplify right side
    1,357.23x = 881,103.54
  5. Step 5: Solve for x
    x = 881,103.54/1,357.23
  6. Step 6: Final answer
    x = 649.19

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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.