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Finding the Fourth Proportional to 931.90, 1,395.09 and 565.57

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Solution

The fourth proportional to 931.90, 1,395.09 and 565.57 is: 846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.90 : 1,395.09 = 565.57 : x
  2. Step 2: Convert to fraction form
    931.90/1,395.09 = 565.57/x
  3. Step 3: Cross multiply
    931.90x = 1,395.09 × 565.57
  4. Step 4: Simplify right side
    931.90x = 789,021.05
  5. Step 5: Solve for x
    x = 789,021.05/931.90
  6. Step 6: Final answer
    x = 846.68

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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.