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Finding the Fourth Proportional to 931.05, 1,385.94 and 917.21

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Solution

The fourth proportional to 931.05, 1,385.94 and 917.21 is: 1,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.05 : 1,385.94 = 917.21 : x
  2. Step 2: Convert to fraction form
    931.05/1,385.94 = 917.21/x
  3. Step 3: Cross multiply
    931.05x = 1,385.94 × 917.21
  4. Step 4: Simplify right side
    931.05x = 1,271,198.03
  5. Step 5: Solve for x
    x = 1,271,198.03/931.05
  6. Step 6: Final answer
    x = 1,365.34

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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.