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Finding the Fourth Proportional to 569.97, 854.82 and 180.02

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Solution

The fourth proportional to 569.97, 854.82 and 180.02 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.97 : 854.82 = 180.02 : x
  2. Step 2: Convert to fraction form
    569.97/854.82 = 180.02/x
  3. Step 3: Cross multiply
    569.97x = 854.82 × 180.02
  4. Step 4: Simplify right side
    569.97x = 153,886.83
  5. Step 5: Solve for x
    x = 153,886.83/569.97
  6. Step 6: Final answer
    x = 269.99

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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.