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Finding the Fourth Proportional to 1,369.39, 2,053.56 and 491.65

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Solution

The fourth proportional to 1,369.39, 2,053.56 and 491.65 is: 737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.39 : 2,053.56 = 491.65 : x
  2. Step 2: Convert to fraction form
    1,369.39/2,053.56 = 491.65/x
  3. Step 3: Cross multiply
    1,369.39x = 2,053.56 × 491.65
  4. Step 4: Simplify right side
    1,369.39x = 1,009,632.77
  5. Step 5: Solve for x
    x = 1,009,632.77/1,369.39
  6. Step 6: Final answer
    x = 737.29

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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.