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Finding the Fourth Proportional to 570.16, 852.84 and 414.34

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Solution

The fourth proportional to 570.16, 852.84 and 414.34 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 852.84 = 414.34 : x
  2. Step 2: Convert to fraction form
    570.16/852.84 = 414.34/x
  3. Step 3: Cross multiply
    570.16x = 852.84 × 414.34
  4. Step 4: Simplify right side
    570.16x = 353,365.73
  5. Step 5: Solve for x
    x = 353,365.73/570.16
  6. Step 6: Final answer
    x = 619.77

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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.