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Finding the Fourth Proportional to 1,369.60, 2,054.16 and 491.96

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Solution

The fourth proportional to 1,369.60, 2,054.16 and 491.96 is: 737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.60 : 2,054.16 = 491.96 : x
  2. Step 2: Convert to fraction form
    1,369.60/2,054.16 = 491.96/x
  3. Step 3: Cross multiply
    1,369.60x = 2,054.16 × 491.96
  4. Step 4: Simplify right side
    1,369.60x = 1,010,569.69
  5. Step 5: Solve for x
    x = 1,010,569.69/1,369.60
  6. Step 6: Final answer
    x = 737.86

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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.