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Finding the Fourth Proportional to 577.52, 794.97 and 437.39

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Solution

The fourth proportional to 577.52, 794.97 and 437.39 is: 602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.52 : 794.97 = 437.39 : x
  2. Step 2: Convert to fraction form
    577.52/794.97 = 437.39/x
  3. Step 3: Cross multiply
    577.52x = 794.97 × 437.39
  4. Step 4: Simplify right side
    577.52x = 347,705.77
  5. Step 5: Solve for x
    x = 347,705.77/577.52
  6. Step 6: Final answer
    x = 602.07

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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.