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Finding the Fourth Proportional to 917.92, 1,379.04 and 846.64

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Solution

The fourth proportional to 917.92, 1,379.04 and 846.64 is: 1,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.92 : 1,379.04 = 846.64 : x
  2. Step 2: Convert to fraction form
    917.92/1,379.04 = 846.64/x
  3. Step 3: Cross multiply
    917.92x = 1,379.04 × 846.64
  4. Step 4: Simplify right side
    917.92x = 1,167,550.43
  5. Step 5: Solve for x
    x = 1,167,550.43/917.92
  6. Step 6: Final answer
    x = 1,271.95

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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.