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Finding the Fourth Proportional to 931.67, 1,395.89 and 688.67

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Solution

The fourth proportional to 931.67, 1,395.89 and 688.67 is: 1,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.67 : 1,395.89 = 688.67 : x
  2. Step 2: Convert to fraction form
    931.67/1,395.89 = 688.67/x
  3. Step 3: Cross multiply
    931.67x = 1,395.89 × 688.67
  4. Step 4: Simplify right side
    931.67x = 961,304.12
  5. Step 5: Solve for x
    x = 961,304.12/931.67
  6. Step 6: Final answer
    x = 1,031.81

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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.