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Finding the Fourth Proportional to 1,032.20, 1,548.32 and 338.86

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Solution

The fourth proportional to 1,032.20, 1,548.32 and 338.86 is: 508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.20 : 1,548.32 = 338.86 : x
  2. Step 2: Convert to fraction form
    1,032.20/1,548.32 = 338.86/x
  3. Step 3: Cross multiply
    1,032.20x = 1,548.32 × 338.86
  4. Step 4: Simplify right side
    1,032.20x = 524,663.72
  5. Step 5: Solve for x
    x = 524,663.72/1,032.20
  6. Step 6: Final answer
    x = 508.30

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1.5x scale

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.