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Finding the Fourth Proportional to 931.64, 1,396.14 and 735.77

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Solution

The fourth proportional to 931.64, 1,396.14 and 735.77 is: 1,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.64 : 1,396.14 = 735.77 : x
  2. Step 2: Convert to fraction form
    931.64/1,396.14 = 735.77/x
  3. Step 3: Cross multiply
    931.64x = 1,396.14 × 735.77
  4. Step 4: Simplify right side
    931.64x = 1,027,237.93
  5. Step 5: Solve for x
    x = 1,027,237.93/931.64
  6. Step 6: Final answer
    x = 1,102.62

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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.