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Finding the Fourth Proportional to 1,122.34, 1,683.54 and 602.80

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Solution

The fourth proportional to 1,122.34, 1,683.54 and 602.80 is: 904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.34 : 1,683.54 = 602.80 : x
  2. Step 2: Convert to fraction form
    1,122.34/1,683.54 = 602.80/x
  3. Step 3: Cross multiply
    1,122.34x = 1,683.54 × 602.80
  4. Step 4: Simplify right side
    1,122.34x = 1,014,837.91
  5. Step 5: Solve for x
    x = 1,014,837.91/1,122.34
  6. Step 6: Final answer
    x = 904.22

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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.