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Finding the Fourth Proportional to 564.51, 777.83 and 433.29

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Solution

The fourth proportional to 564.51, 777.83 and 433.29 is: 597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.51 : 777.83 = 433.29 : x
  2. Step 2: Convert to fraction form
    564.51/777.83 = 433.29/x
  3. Step 3: Cross multiply
    564.51x = 777.83 × 433.29
  4. Step 4: Simplify right side
    564.51x = 337,023.79
  5. Step 5: Solve for x
    x = 337,023.79/564.51
  6. Step 6: Final answer
    x = 597.02

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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.