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Finding the Fourth Proportional to 1,683.51, 2,524.78 and 642.79

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Solution

The fourth proportional to 1,683.51, 2,524.78 and 642.79 is: 964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.51 : 2,524.78 = 642.79 : x
  2. Step 2: Convert to fraction form
    1,683.51/2,524.78 = 642.79/x
  3. Step 3: Cross multiply
    1,683.51x = 2,524.78 × 642.79
  4. Step 4: Simplify right side
    1,683.51x = 1,622,903.34
  5. Step 5: Solve for x
    x = 1,622,903.34/1,683.51
  6. Step 6: Final answer
    x = 964.00

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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.