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Finding the Fourth Proportional to 569.48, 855.21 and 540.28

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Solution

The fourth proportional to 569.48, 855.21 and 540.28 is: 811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 855.21 = 540.28 : x
  2. Step 2: Convert to fraction form
    569.48/855.21 = 540.28/x
  3. Step 3: Cross multiply
    569.48x = 855.21 × 540.28
  4. Step 4: Simplify right side
    569.48x = 462,048.58
  5. Step 5: Solve for x
    x = 462,048.58/569.48
  6. Step 6: Final answer
    x = 811.35

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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.