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Finding the Fourth Proportional to 564.26, 777.75 and 433.31

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Solution

The fourth proportional to 564.26, 777.75 and 433.31 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.26 : 777.75 = 433.31 : x
  2. Step 2: Convert to fraction form
    564.26/777.75 = 433.31/x
  3. Step 3: Cross multiply
    564.26x = 777.75 × 433.31
  4. Step 4: Simplify right side
    564.26x = 337,006.85
  5. Step 5: Solve for x
    x = 337,006.85/564.26
  6. Step 6: Final answer
    x = 597.25

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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.