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Finding the Fourth Proportional to 569.00, 784.85 and 379.95

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Solution

The fourth proportional to 569.00, 784.85 and 379.95 is: 524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.00 : 784.85 = 379.95 : x
  2. Step 2: Convert to fraction form
    569.00/784.85 = 379.95/x
  3. Step 3: Cross multiply
    569.00x = 784.85 × 379.95
  4. Step 4: Simplify right side
    569.00x = 298,201.86
  5. Step 5: Solve for x
    x = 298,201.86/569.00
  6. Step 6: Final answer
    x = 524.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.