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Finding the Fourth Proportional to 570.10, 854.67 and 223.24

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Solution

The fourth proportional to 570.10, 854.67 and 223.24 is: 334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.10 : 854.67 = 223.24 : x
  2. Step 2: Convert to fraction form
    570.10/854.67 = 223.24/x
  3. Step 3: Cross multiply
    570.10x = 854.67 × 223.24
  4. Step 4: Simplify right side
    570.10x = 190,796.53
  5. Step 5: Solve for x
    x = 190,796.53/570.10
  6. Step 6: Final answer
    x = 334.67

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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.