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Finding the Fourth Proportional to 569.00, 851.58 and 407.75

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Solution

The fourth proportional to 569.00, 851.58 and 407.75 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.00 : 851.58 = 407.75 : x
  2. Step 2: Convert to fraction form
    569.00/851.58 = 407.75/x
  3. Step 3: Cross multiply
    569.00x = 851.58 × 407.75
  4. Step 4: Simplify right side
    569.00x = 347,227.49
  5. Step 5: Solve for x
    x = 347,227.49/569.00
  6. Step 6: Final answer
    x = 610.24

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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.