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Finding the Fourth Proportional to 569.18, 853.81 and 417.00

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Solution

The fourth proportional to 569.18, 853.81 and 417.00 is: 625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.18 : 853.81 = 417.00 : x
  2. Step 2: Convert to fraction form
    569.18/853.81 = 417.00/x
  3. Step 3: Cross multiply
    569.18x = 853.81 × 417.00
  4. Step 4: Simplify right side
    569.18x = 356,035.54
  5. Step 5: Solve for x
    x = 356,035.54/569.18
  6. Step 6: Final answer
    x = 625.53

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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.