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Finding the Fourth Proportional to 1,122.74, 1,683.74 and 429.38

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Solution

The fourth proportional to 1,122.74, 1,683.74 and 429.38 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.74 : 1,683.74 = 429.38 : x
  2. Step 2: Convert to fraction form
    1,122.74/1,683.74 = 429.38/x
  3. Step 3: Cross multiply
    1,122.74x = 1,683.74 × 429.38
  4. Step 4: Simplify right side
    1,122.74x = 722,964.28
  5. Step 5: Solve for x
    x = 722,964.28/1,122.74
  6. Step 6: Final answer
    x = 643.93

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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.