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Finding the Fourth Proportional to 570.80, 855.39 and 365.06

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Solution

The fourth proportional to 570.80, 855.39 and 365.06 is: 547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.80 : 855.39 = 365.06 : x
  2. Step 2: Convert to fraction form
    570.80/855.39 = 365.06/x
  3. Step 3: Cross multiply
    570.80x = 855.39 × 365.06
  4. Step 4: Simplify right side
    570.80x = 312,268.67
  5. Step 5: Solve for x
    x = 312,268.67/570.80
  6. Step 6: Final answer
    x = 547.07

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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.