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Finding the Fourth Proportional to 917.92, 1,370.27 and 786.50

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Solution

The fourth proportional to 917.92, 1,370.27 and 786.50 is: 1,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.92 : 1,370.27 = 786.50 : x
  2. Step 2: Convert to fraction form
    917.92/1,370.27 = 786.50/x
  3. Step 3: Cross multiply
    917.92x = 1,370.27 × 786.50
  4. Step 4: Simplify right side
    917.92x = 1,077,717.36
  5. Step 5: Solve for x
    x = 1,077,717.36/917.92
  6. Step 6: Final answer
    x = 1,174.09

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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.