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Finding the Fourth Proportional to 1,025.66, 1,538.58 and 332.34

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Solution

The fourth proportional to 1,025.66, 1,538.58 and 332.34 is: 498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.66 : 1,538.58 = 332.34 : x
  2. Step 2: Convert to fraction form
    1,025.66/1,538.58 = 332.34/x
  3. Step 3: Cross multiply
    1,025.66x = 1,538.58 × 332.34
  4. Step 4: Simplify right side
    1,025.66x = 511,331.68
  5. Step 5: Solve for x
    x = 511,331.68/1,025.66
  6. Step 6: Final answer
    x = 498.54

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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.