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Finding the Fourth Proportional to 619.76, 858.68 and 577.64

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Solution

The fourth proportional to 619.76, 858.68 and 577.64 is: 800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.76 : 858.68 = 577.64 : x
  2. Step 2: Convert to fraction form
    619.76/858.68 = 577.64/x
  3. Step 3: Cross multiply
    619.76x = 858.68 × 577.64
  4. Step 4: Simplify right side
    619.76x = 496,007.92
  5. Step 5: Solve for x
    x = 496,007.92/619.76
  6. Step 6: Final answer
    x = 800.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.