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Finding the Fourth Proportional to 917.29, 1,368.41 and 892.19

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Solution

The fourth proportional to 917.29, 1,368.41 and 892.19 is: 1,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.29 : 1,368.41 = 892.19 : x
  2. Step 2: Convert to fraction form
    917.29/1,368.41 = 892.19/x
  3. Step 3: Cross multiply
    917.29x = 1,368.41 × 892.19
  4. Step 4: Simplify right side
    917.29x = 1,220,881.72
  5. Step 5: Solve for x
    x = 1,220,881.72/917.29
  6. Step 6: Final answer
    x = 1,330.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.