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Finding the Fourth Proportional to 573.18, 864.54 and 505.56

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Solution

The fourth proportional to 573.18, 864.54 and 505.56 is: 762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.18 : 864.54 = 505.56 : x
  2. Step 2: Convert to fraction form
    573.18/864.54 = 505.56/x
  3. Step 3: Cross multiply
    573.18x = 864.54 × 505.56
  4. Step 4: Simplify right side
    573.18x = 437,076.84
  5. Step 5: Solve for x
    x = 437,076.84/573.18
  6. Step 6: Final answer
    x = 762.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.