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Finding the Fourth Proportional to 573.53, 858.47 and 408.92

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Solution

The fourth proportional to 573.53, 858.47 and 408.92 is: 612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.53 : 858.47 = 408.92 : x
  2. Step 2: Convert to fraction form
    573.53/858.47 = 408.92/x
  3. Step 3: Cross multiply
    573.53x = 858.47 × 408.92
  4. Step 4: Simplify right side
    573.53x = 351,039.22
  5. Step 5: Solve for x
    x = 351,039.22/573.53
  6. Step 6: Final answer
    x = 612.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.