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Finding the Fourth Proportional to 573.08, 858.71 and 518.40

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Solution

The fourth proportional to 573.08, 858.71 and 518.40 is: 776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.08 : 858.71 = 518.40 : x
  2. Step 2: Convert to fraction form
    573.08/858.71 = 518.40/x
  3. Step 3: Cross multiply
    573.08x = 858.71 × 518.40
  4. Step 4: Simplify right side
    573.08x = 445,152.67
  5. Step 5: Solve for x
    x = 445,152.67/573.08
  6. Step 6: Final answer
    x = 776.78

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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.