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Finding the Fourth Proportional to 537.06, 740.79 and 420.42

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Solution

The fourth proportional to 537.06, 740.79 and 420.42 is: 579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.06 : 740.79 = 420.42 : x
  2. Step 2: Convert to fraction form
    537.06/740.79 = 420.42/x
  3. Step 3: Cross multiply
    537.06x = 740.79 × 420.42
  4. Step 4: Simplify right side
    537.06x = 311,442.93
  5. Step 5: Solve for x
    x = 311,442.93/537.06
  6. Step 6: Final answer
    x = 579.90

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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.