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Finding the Fourth Proportional to 573.58, 858.53 and 378.75

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Solution

The fourth proportional to 573.58, 858.53 and 378.75 is: 566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.58 : 858.53 = 378.75 : x
  2. Step 2: Convert to fraction form
    573.58/858.53 = 378.75/x
  3. Step 3: Cross multiply
    573.58x = 858.53 × 378.75
  4. Step 4: Simplify right side
    573.58x = 325,168.24
  5. Step 5: Solve for x
    x = 325,168.24/573.58
  6. Step 6: Final answer
    x = 566.91

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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.