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Finding the Fourth Proportional to 931.97, 1,395.77 and 492.03

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Solution

The fourth proportional to 931.97, 1,395.77 and 492.03 is: 736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.97 : 1,395.77 = 492.03 : x
  2. Step 2: Convert to fraction form
    931.97/1,395.77 = 492.03/x
  3. Step 3: Cross multiply
    931.97x = 1,395.77 × 492.03
  4. Step 4: Simplify right side
    931.97x = 686,758.25
  5. Step 5: Solve for x
    x = 686,758.25/931.97
  6. Step 6: Final answer
    x = 736.89

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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.