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Finding the Fourth Proportional to 1,028.64, 1,542.96 and 420.64

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Solution

The fourth proportional to 1,028.64, 1,542.96 and 420.64 is: 630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.64 : 1,542.96 = 420.64 : x
  2. Step 2: Convert to fraction form
    1,028.64/1,542.96 = 420.64/x
  3. Step 3: Cross multiply
    1,028.64x = 1,542.96 × 420.64
  4. Step 4: Simplify right side
    1,028.64x = 649,030.69
  5. Step 5: Solve for x
    x = 649,030.69/1,028.64
  6. Step 6: Final answer
    x = 630.96

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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.