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Finding the Fourth Proportional to 573.18, 857.94 and 410.06

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Solution

The fourth proportional to 573.18, 857.94 and 410.06 is: 613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.18 : 857.94 = 410.06 : x
  2. Step 2: Convert to fraction form
    573.18/857.94 = 410.06/x
  3. Step 3: Cross multiply
    573.18x = 857.94 × 410.06
  4. Step 4: Simplify right side
    573.18x = 351,809.79
  5. Step 5: Solve for x
    x = 351,809.79/573.18
  6. Step 6: Final answer
    x = 613.79

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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.