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Finding the Fourth Proportional to 569.99, 851.41 and 395.18

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Solution

The fourth proportional to 569.99, 851.41 and 395.18 is: 590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.99 : 851.41 = 395.18 : x
  2. Step 2: Convert to fraction form
    569.99/851.41 = 395.18/x
  3. Step 3: Cross multiply
    569.99x = 851.41 × 395.18
  4. Step 4: Simplify right side
    569.99x = 336,459.63
  5. Step 5: Solve for x
    x = 336,459.63/569.99
  6. Step 6: Final answer
    x = 590.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.