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Finding the Fourth Proportional to 1,357.76, 2,036.04 and 383.64

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Solution

The fourth proportional to 1,357.76, 2,036.04 and 383.64 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.76 : 2,036.04 = 383.64 : x
  2. Step 2: Convert to fraction form
    1,357.76/2,036.04 = 383.64/x
  3. Step 3: Cross multiply
    1,357.76x = 2,036.04 × 383.64
  4. Step 4: Simplify right side
    1,357.76x = 781,097.31
  5. Step 5: Solve for x
    x = 781,097.31/1,357.76
  6. Step 6: Final answer
    x = 575.28

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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.