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Finding the Fourth Proportional to 1,357.60, 2,036.70 and 433.21

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Solution

The fourth proportional to 1,357.60, 2,036.70 and 433.21 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.60 : 2,036.70 = 433.21 : x
  2. Step 2: Convert to fraction form
    1,357.60/2,036.70 = 433.21/x
  3. Step 3: Cross multiply
    1,357.60x = 2,036.70 × 433.21
  4. Step 4: Simplify right side
    1,357.60x = 882,313.72
  5. Step 5: Solve for x
    x = 882,313.72/1,357.60
  6. Step 6: Final answer
    x = 649.91

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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.