Home / 735.03-1,014.39-420.23

Finding the Fourth Proportional to 735.03, 1,014.39 and 420.23

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Solution

The fourth proportional to 735.03, 1,014.39 and 420.23 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.03 : 1,014.39 = 420.23 : x
  2. Step 2: Convert to fraction form
    735.03/1,014.39 = 420.23/x
  3. Step 3: Cross multiply
    735.03x = 1,014.39 × 420.23
  4. Step 4: Simplify right side
    735.03x = 426,272.04
  5. Step 5: Solve for x
    x = 426,272.04/735.03
  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.