Home / 1,357.46-2,036.21-433.02

Finding the Fourth Proportional to 1,357.46, 2,036.21 and 433.02

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Solution

The fourth proportional to 1,357.46, 2,036.21 and 433.02 is: 649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.46 : 2,036.21 = 433.02 : x
  2. Step 2: Convert to fraction form
    1,357.46/2,036.21 = 433.02/x
  3. Step 3: Cross multiply
    1,357.46x = 2,036.21 × 433.02
  4. Step 4: Simplify right side
    1,357.46x = 881,719.65
  5. Step 5: Solve for x
    x = 881,719.65/1,357.46
  6. Step 6: Final answer
    x = 649.54

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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.