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Finding the Fourth Proportional to 706, 1,057.20 and 618.52

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Solution

The fourth proportional to 706, 1,057.20 and 618.52 is: 926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 1,057.20 = 618.52 : x
  2. Step 2: Convert to fraction form
    706/1,057.20 = 618.52/x
  3. Step 3: Cross multiply
    706x = 1,057.20 × 618.52
  4. Step 4: Simplify right side
    706x = 653,899.34
  5. Step 5: Solve for x
    x = 653,899.34/706
  6. Step 6: Final answer
    x = 926.20

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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.