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Finding the Fourth Proportional to 914.15, 1,261.52 and 494.50

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Solution

The fourth proportional to 914.15, 1,261.52 and 494.50 is: 682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.15 : 1,261.52 = 494.50 : x
  2. Step 2: Convert to fraction form
    914.15/1,261.52 = 494.50/x
  3. Step 3: Cross multiply
    914.15x = 1,261.52 × 494.50
  4. Step 4: Simplify right side
    914.15x = 623,826.03
  5. Step 5: Solve for x
    x = 623,826.03/914.15
  6. Step 6: Final answer
    x = 682.41

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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.