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Finding the Fourth Proportional to 640.34, 878.01 and 577.94

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Solution

The fourth proportional to 640.34, 878.01 and 577.94 is: 792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.34 : 878.01 = 577.94 : x
  2. Step 2: Convert to fraction form
    640.34/878.01 = 577.94/x
  3. Step 3: Cross multiply
    640.34x = 878.01 × 577.94
  4. Step 4: Simplify right side
    640.34x = 507,434.21
  5. Step 5: Solve for x
    x = 507,434.21/640.34
  6. Step 6: Final answer
    x = 792.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.