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Finding the Fourth Proportional to 734.93, 1,100.77 and 490.31

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Solution

The fourth proportional to 734.93, 1,100.77 and 490.31 is: 734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.93 : 1,100.77 = 490.31 : x
  2. Step 2: Convert to fraction form
    734.93/1,100.77 = 490.31/x
  3. Step 3: Cross multiply
    734.93x = 1,100.77 × 490.31
  4. Step 4: Simplify right side
    734.93x = 539,710.58
  5. Step 5: Solve for x
    x = 539,710.58/734.93
  6. Step 6: Final answer
    x = 734.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.