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Finding the Fourth Proportional to 1,357.23, 2,036.02 and 383.41

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Solution

The fourth proportional to 1,357.23, 2,036.02 and 383.41 is: 575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.23 : 2,036.02 = 383.41 : x
  2. Step 2: Convert to fraction form
    1,357.23/2,036.02 = 383.41/x
  3. Step 3: Cross multiply
    1,357.23x = 2,036.02 × 383.41
  4. Step 4: Simplify right side
    1,357.23x = 780,630.43
  5. Step 5: Solve for x
    x = 780,630.43/1,357.23
  6. Step 6: Final answer
    x = 575.16

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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.