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Finding the Fourth Proportional to 735.23, 1,014.93 and 486.11

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Solution

The fourth proportional to 735.23, 1,014.93 and 486.11 is: 671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.23 : 1,014.93 = 486.11 : x
  2. Step 2: Convert to fraction form
    735.23/1,014.93 = 486.11/x
  3. Step 3: Cross multiply
    735.23x = 1,014.93 × 486.11
  4. Step 4: Simplify right side
    735.23x = 493,362.55
  5. Step 5: Solve for x
    x = 493,362.55/735.23
  6. Step 6: Final answer
    x = 671.04

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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.