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Finding the Fourth Proportional to 535.92, 739.20 and 419.28

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Solution

The fourth proportional to 535.92, 739.20 and 419.28 is: 578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.92 : 739.20 = 419.28 : x
  2. Step 2: Convert to fraction form
    535.92/739.20 = 419.28/x
  3. Step 3: Cross multiply
    535.92x = 739.20 × 419.28
  4. Step 4: Simplify right side
    535.92x = 309,931.78
  5. Step 5: Solve for x
    x = 309,931.78/535.92
  6. Step 6: Final answer
    x = 578.32

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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.