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Finding the Fourth Proportional to 668.20, 999.63 and 577.87

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Solution

The fourth proportional to 668.20, 999.63 and 577.87 is: 864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.20 : 999.63 = 577.87 : x
  2. Step 2: Convert to fraction form
    668.20/999.63 = 577.87/x
  3. Step 3: Cross multiply
    668.20x = 999.63 × 577.87
  4. Step 4: Simplify right side
    668.20x = 577,656.19
  5. Step 5: Solve for x
    x = 577,656.19/668.20
  6. Step 6: Final answer
    x = 864.50

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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.