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Finding the Fourth Proportional to 570.50, 855.66 and 262.34

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Solution

The fourth proportional to 570.50, 855.66 and 262.34 is: 393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.50 : 855.66 = 262.34 : x
  2. Step 2: Convert to fraction form
    570.50/855.66 = 262.34/x
  3. Step 3: Cross multiply
    570.50x = 855.66 × 262.34
  4. Step 4: Simplify right side
    570.50x = 224,473.84
  5. Step 5: Solve for x
    x = 224,473.84/570.50
  6. Step 6: Final answer
    x = 393.47

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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.