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Finding the Fourth Proportional to 570.19, 855.90 and 455.38

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Solution

The fourth proportional to 570.19, 855.90 and 455.38 is: 683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.19 : 855.90 = 455.38 : x
  2. Step 2: Convert to fraction form
    570.19/855.90 = 455.38/x
  3. Step 3: Cross multiply
    570.19x = 855.90 × 455.38
  4. Step 4: Simplify right side
    570.19x = 389,759.74
  5. Step 5: Solve for x
    x = 389,759.74/570.19
  6. Step 6: Final answer
    x = 683.56

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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.