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Finding the Fourth Proportional to 739.21, 1,108.88 and 277.32

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Solution

The fourth proportional to 739.21, 1,108.88 and 277.32 is: 416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.21 : 1,108.88 = 277.32 : x
  2. Step 2: Convert to fraction form
    739.21/1,108.88 = 277.32/x
  3. Step 3: Cross multiply
    739.21x = 1,108.88 × 277.32
  4. Step 4: Simplify right side
    739.21x = 307,513.74
  5. Step 5: Solve for x
    x = 307,513.74/739.21
  6. Step 6: Final answer
    x = 416.00

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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.