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Finding the Fourth Proportional to 564.42, 777.20 and 531.54

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Solution

The fourth proportional to 564.42, 777.20 and 531.54 is: 731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.42 : 777.20 = 531.54 : x
  2. Step 2: Convert to fraction form
    564.42/777.20 = 531.54/x
  3. Step 3: Cross multiply
    564.42x = 777.20 × 531.54
  4. Step 4: Simplify right side
    564.42x = 413,114.22
  5. Step 5: Solve for x
    x = 413,114.22/564.42
  6. Step 6: Final answer
    x = 731.93

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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.