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Finding the Fourth Proportional to 573.35, 858.15 and 378.50

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Solution

The fourth proportional to 573.35, 858.15 and 378.50 is: 566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.35 : 858.15 = 378.50 : x
  2. Step 2: Convert to fraction form
    573.35/858.15 = 378.50/x
  3. Step 3: Cross multiply
    573.35x = 858.15 × 378.50
  4. Step 4: Simplify right side
    573.35x = 324,805.48
  5. Step 5: Solve for x
    x = 324,805.48/573.35
  6. Step 6: Final answer
    x = 566.51

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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.