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Finding the Fourth Proportional to 603.77, 828.90 and 577.12

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Solution

The fourth proportional to 603.77, 828.90 and 577.12 is: 792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.77 : 828.90 = 577.12 : x
  2. Step 2: Convert to fraction form
    603.77/828.90 = 577.12/x
  3. Step 3: Cross multiply
    603.77x = 828.90 × 577.12
  4. Step 4: Simplify right side
    603.77x = 478,372.70
  5. Step 5: Solve for x
    x = 478,372.70/603.77
  6. Step 6: Final answer
    x = 792.31

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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.