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Finding the Fourth Proportional to 573.94, 864.16 and 505.90

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Solution

The fourth proportional to 573.94, 864.16 and 505.90 is: 761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.94 : 864.16 = 505.90 : x
  2. Step 2: Convert to fraction form
    573.94/864.16 = 505.90/x
  3. Step 3: Cross multiply
    573.94x = 864.16 × 505.90
  4. Step 4: Simplify right side
    573.94x = 437,178.54
  5. Step 5: Solve for x
    x = 437,178.54/573.94
  6. Step 6: Final answer
    x = 761.71

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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.