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Finding the Fourth Proportional to 1,357.68, 2,036.52 and 491.79

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Solution

The fourth proportional to 1,357.68, 2,036.52 and 491.79 is: 737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.68 : 2,036.52 = 491.79 : x
  2. Step 2: Convert to fraction form
    1,357.68/2,036.52 = 491.79/x
  3. Step 3: Cross multiply
    1,357.68x = 2,036.52 × 491.79
  4. Step 4: Simplify right side
    1,357.68x = 1,001,540.17
  5. Step 5: Solve for x
    x = 1,001,540.17/1,357.68
  6. Step 6: Final answer
    x = 737.69

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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.