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Finding the Fourth Proportional to 570.07, 786.63 and 321.42

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Solution

The fourth proportional to 570.07, 786.63 and 321.42 is: 443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.07 : 786.63 = 321.42 : x
  2. Step 2: Convert to fraction form
    570.07/786.63 = 321.42/x
  3. Step 3: Cross multiply
    570.07x = 786.63 × 321.42
  4. Step 4: Simplify right side
    570.07x = 252,840.58
  5. Step 5: Solve for x
    x = 252,840.58/570.07
  6. Step 6: Final answer
    x = 443.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.