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Finding the Fourth Proportional to 1,578.81, 2,368.71 and 654.81

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Solution

The fourth proportional to 1,578.81, 2,368.71 and 654.81 is: 982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.81 : 2,368.71 = 654.81 : x
  2. Step 2: Convert to fraction form
    1,578.81/2,368.71 = 654.81/x
  3. Step 3: Cross multiply
    1,578.81x = 2,368.71 × 654.81
  4. Step 4: Simplify right side
    1,578.81x = 1,551,055.00
  5. Step 5: Solve for x
    x = 1,551,055.00/1,578.81
  6. Step 6: Final answer
    x = 982.42

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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.