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Finding the Fourth Proportional to 735.78, 1,015.40 and 404.21

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Solution

The fourth proportional to 735.78, 1,015.40 and 404.21 is: 557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.78 : 1,015.40 = 404.21 : x
  2. Step 2: Convert to fraction form
    735.78/1,015.40 = 404.21/x
  3. Step 3: Cross multiply
    735.78x = 1,015.40 × 404.21
  4. Step 4: Simplify right side
    735.78x = 410,432.67
  5. Step 5: Solve for x
    x = 410,432.67/735.78
  6. Step 6: Final answer
    x = 557.82

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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.