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Finding the Fourth Proportional to 569.90, 855.56 and 416.00

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Solution

The fourth proportional to 569.90, 855.56 and 416.00 is: 624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.90 : 855.56 = 416.00 : x
  2. Step 2: Convert to fraction form
    569.90/855.56 = 416.00/x
  3. Step 3: Cross multiply
    569.90x = 855.56 × 416.00
  4. Step 4: Simplify right side
    569.90x = 355,916.14
  5. Step 5: Solve for x
    x = 355,916.14/569.90
  6. Step 6: Final answer
    x = 624.52

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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.