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Finding the Fourth Proportional to 917.08, 1,265.68 and 669.22

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Solution

The fourth proportional to 917.08, 1,265.68 and 669.22 is: 923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.08 : 1,265.68 = 669.22 : x
  2. Step 2: Convert to fraction form
    917.08/1,265.68 = 669.22/x
  3. Step 3: Cross multiply
    917.08x = 1,265.68 × 669.22
  4. Step 4: Simplify right side
    917.08x = 847,018.37
  5. Step 5: Solve for x
    x = 847,018.37/917.08
  6. Step 6: Final answer
    x = 923.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.