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Finding the Fourth Proportional to 573.59, 858.24 and 342.60

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Solution

The fourth proportional to 573.59, 858.24 and 342.60 is: 512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.59 : 858.24 = 342.60 : x
  2. Step 2: Convert to fraction form
    573.59/858.24 = 342.60/x
  3. Step 3: Cross multiply
    573.59x = 858.24 × 342.60
  4. Step 4: Simplify right side
    573.59x = 294,033.02
  5. Step 5: Solve for x
    x = 294,033.02/573.59
  6. Step 6: Final answer
    x = 512.62

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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.