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Finding the Fourth Proportional to 1,122.17, 1,683.05 and 342.03

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Solution

The fourth proportional to 1,122.17, 1,683.05 and 342.03 is: 512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.17 : 1,683.05 = 342.03 : x
  2. Step 2: Convert to fraction form
    1,122.17/1,683.05 = 342.03/x
  3. Step 3: Cross multiply
    1,122.17x = 1,683.05 × 342.03
  4. Step 4: Simplify right side
    1,122.17x = 575,651.88
  5. Step 5: Solve for x
    x = 575,651.88/1,122.17
  6. Step 6: Final answer
    x = 512.98

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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.