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Finding the Fourth Proportional to 1,364.79, 2,047.19 and 817.13

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Solution

The fourth proportional to 1,364.79, 2,047.19 and 817.13 is: 1,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.79 : 2,047.19 = 817.13 : x
  2. Step 2: Convert to fraction form
    1,364.79/2,047.19 = 817.13/x
  3. Step 3: Cross multiply
    1,364.79x = 2,047.19 × 817.13
  4. Step 4: Simplify right side
    1,364.79x = 1,672,806.04
  5. Step 5: Solve for x
    x = 1,672,806.04/1,364.79
  6. Step 6: Final answer
    x = 1,225.69

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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.