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Finding the Fourth Proportional to 739.66, 1,109.64 and 431.77

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Solution

The fourth proportional to 739.66, 1,109.64 and 431.77 is: 647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.66 : 1,109.64 = 431.77 : x
  2. Step 2: Convert to fraction form
    739.66/1,109.64 = 431.77/x
  3. Step 3: Cross multiply
    739.66x = 1,109.64 × 431.77
  4. Step 4: Simplify right side
    739.66x = 479,109.26
  5. Step 5: Solve for x
    x = 479,109.26/739.66
  6. Step 6: Final answer
    x = 647.74

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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.