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Finding the Fourth Proportional to 735.79, 1,015.26 and 420.94

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Solution

The fourth proportional to 735.79, 1,015.26 and 420.94 is: 580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.79 : 1,015.26 = 420.94 : x
  2. Step 2: Convert to fraction form
    735.79/1,015.26 = 420.94/x
  3. Step 3: Cross multiply
    735.79x = 1,015.26 × 420.94
  4. Step 4: Simplify right side
    735.79x = 427,363.54
  5. Step 5: Solve for x
    x = 427,363.54/735.79
  6. Step 6: Final answer
    x = 580.82

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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.