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Finding the Fourth Proportional to 1,357.62, 2,036.17 and 433.23

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Solution

The fourth proportional to 1,357.62, 2,036.17 and 433.23 is: 649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.62 : 2,036.17 = 433.23 : x
  2. Step 2: Convert to fraction form
    1,357.62/2,036.17 = 433.23/x
  3. Step 3: Cross multiply
    1,357.62x = 2,036.17 × 433.23
  4. Step 4: Simplify right side
    1,357.62x = 882,129.93
  5. Step 5: Solve for x
    x = 882,129.93/1,357.62
  6. Step 6: Final answer
    x = 649.76

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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.