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Finding the Fourth Proportional to 735.17, 1,014.62 and 420.49

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Solution

The fourth proportional to 735.17, 1,014.62 and 420.49 is: 580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.17 : 1,014.62 = 420.49 : x
  2. Step 2: Convert to fraction form
    735.17/1,014.62 = 420.49/x
  3. Step 3: Cross multiply
    735.17x = 1,014.62 × 420.49
  4. Step 4: Simplify right side
    735.17x = 426,636.08
  5. Step 5: Solve for x
    x = 426,636.08/735.17
  6. Step 6: Final answer
    x = 580.33

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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.