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Finding the Fourth Proportional to 739.77, 1,109.69 and 431.45

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Solution

The fourth proportional to 739.77, 1,109.69 and 431.45 is: 647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.77 : 1,109.69 = 431.45 : x
  2. Step 2: Convert to fraction form
    739.77/1,109.69 = 431.45/x
  3. Step 3: Cross multiply
    739.77x = 1,109.69 × 431.45
  4. Step 4: Simplify right side
    739.77x = 478,773.82
  5. Step 5: Solve for x
    x = 478,773.82/739.77
  6. Step 6: Final answer
    x = 647.20

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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.