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Finding the Fourth Proportional to 694.78, 1,042.22 and 572.67

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Solution

The fourth proportional to 694.78, 1,042.22 and 572.67 is: 859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.78 : 1,042.22 = 572.67 : x
  2. Step 2: Convert to fraction form
    694.78/1,042.22 = 572.67/x
  3. Step 3: Cross multiply
    694.78x = 1,042.22 × 572.67
  4. Step 4: Simplify right side
    694.78x = 596,846.34
  5. Step 5: Solve for x
    x = 596,846.34/694.78
  6. Step 6: Final answer
    x = 859.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.