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Finding the Fourth Proportional to 569.78, 855.52 and 541.94

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Solution

The fourth proportional to 569.78, 855.52 and 541.94 is: 813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.78 : 855.52 = 541.94 : x
  2. Step 2: Convert to fraction form
    569.78/855.52 = 541.94/x
  3. Step 3: Cross multiply
    569.78x = 855.52 × 541.94
  4. Step 4: Simplify right side
    569.78x = 463,640.51
  5. Step 5: Solve for x
    x = 463,640.51/569.78
  6. Step 6: Final answer
    x = 813.72

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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.