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Finding the Fourth Proportional to 931.48, 1,395.78 and 824.56

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Solution

The fourth proportional to 931.48, 1,395.78 and 824.56 is: 1,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.48 : 1,395.78 = 824.56 : x
  2. Step 2: Convert to fraction form
    931.48/1,395.78 = 824.56/x
  3. Step 3: Cross multiply
    931.48x = 1,395.78 × 824.56
  4. Step 4: Simplify right side
    931.48x = 1,150,904.36
  5. Step 5: Solve for x
    x = 1,150,904.36/931.48
  6. Step 6: Final answer
    x = 1,235.57

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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.