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Finding the Fourth Proportional to 577.09, 865.09 and 433.45

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Solution

The fourth proportional to 577.09, 865.09 and 433.45 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.09 : 865.09 = 433.45 : x
  2. Step 2: Convert to fraction form
    577.09/865.09 = 433.45/x
  3. Step 3: Cross multiply
    577.09x = 865.09 × 433.45
  4. Step 4: Simplify right side
    577.09x = 374,973.26
  5. Step 5: Solve for x
    x = 374,973.26/577.09
  6. Step 6: Final answer
    x = 649.77

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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.