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Finding the Fourth Proportional to 570.50, 855.93 and 241.59

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Solution

The fourth proportional to 570.50, 855.93 and 241.59 is: 362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.50 : 855.93 = 241.59 : x
  2. Step 2: Convert to fraction form
    570.50/855.93 = 241.59/x
  3. Step 3: Cross multiply
    570.50x = 855.93 × 241.59
  4. Step 4: Simplify right side
    570.50x = 206,780.01
  5. Step 5: Solve for x
    x = 206,780.01/570.50
  6. Step 6: Final answer
    x = 362.45

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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.