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Finding the Fourth Proportional to 735.15, 1,014.33 and 420.32

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Solution

The fourth proportional to 735.15, 1,014.33 and 420.32 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.15 : 1,014.33 = 420.32 : x
  2. Step 2: Convert to fraction form
    735.15/1,014.33 = 420.32/x
  3. Step 3: Cross multiply
    735.15x = 1,014.33 × 420.32
  4. Step 4: Simplify right side
    735.15x = 426,345.72
  5. Step 5: Solve for x
    x = 426,345.72/735.15
  6. Step 6: Final answer
    x = 579.94

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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.