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Finding the Fourth Proportional to 816.17, 1,222.63 and 713.57

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Solution

The fourth proportional to 816.17, 1,222.63 and 713.57 is: 1,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.17 : 1,222.63 = 713.57 : x
  2. Step 2: Convert to fraction form
    816.17/1,222.63 = 713.57/x
  3. Step 3: Cross multiply
    816.17x = 1,222.63 × 713.57
  4. Step 4: Simplify right side
    816.17x = 872,424.19
  5. Step 5: Solve for x
    x = 872,424.19/816.17
  6. Step 6: Final answer
    x = 1,068.93

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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.