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Finding the Fourth Proportional to 840.94, 1,261.49 and 293.13

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Solution

The fourth proportional to 840.94, 1,261.49 and 293.13 is: 439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.94 : 1,261.49 = 293.13 : x
  2. Step 2: Convert to fraction form
    840.94/1,261.49 = 293.13/x
  3. Step 3: Cross multiply
    840.94x = 1,261.49 × 293.13
  4. Step 4: Simplify right side
    840.94x = 369,780.56
  5. Step 5: Solve for x
    x = 369,780.56/840.94
  6. Step 6: Final answer
    x = 439.72

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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.