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Finding the Fourth Proportional to 931.58, 1,285.53 and 600.33

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Solution

The fourth proportional to 931.58, 1,285.53 and 600.33 is: 828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.58 : 1,285.53 = 600.33 : x
  2. Step 2: Convert to fraction form
    931.58/1,285.53 = 600.33/x
  3. Step 3: Cross multiply
    931.58x = 1,285.53 × 600.33
  4. Step 4: Simplify right side
    931.58x = 771,742.22
  5. Step 5: Solve for x
    x = 771,742.22/931.58
  6. Step 6: Final answer
    x = 828.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.