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Finding the Fourth Proportional to 537.03, 740.34 and 420.39

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Solution

The fourth proportional to 537.03, 740.34 and 420.39 is: 579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.03 : 740.34 = 420.39 : x
  2. Step 2: Convert to fraction form
    537.03/740.34 = 420.39/x
  3. Step 3: Cross multiply
    537.03x = 740.34 × 420.39
  4. Step 4: Simplify right side
    537.03x = 311,231.53
  5. Step 5: Solve for x
    x = 311,231.53/537.03
  6. Step 6: Final answer
    x = 579.54

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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.