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Finding the Fourth Proportional to 1,317.79, 1,816.91 and 844.91

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Solution

The fourth proportional to 1,317.79, 1,816.91 and 844.91 is: 1,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.79 : 1,816.91 = 844.91 : x
  2. Step 2: Convert to fraction form
    1,317.79/1,816.91 = 844.91/x
  3. Step 3: Cross multiply
    1,317.79x = 1,816.91 × 844.91
  4. Step 4: Simplify right side
    1,317.79x = 1,535,125.43
  5. Step 5: Solve for x
    x = 1,535,125.43/1,317.79
  6. Step 6: Final answer
    x = 1,164.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.