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Finding the Fourth Proportional to 1,230.03, 1,842.99 and 971.71

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Solution

The fourth proportional to 1,230.03, 1,842.99 and 971.71 is: 1,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.03 : 1,842.99 = 971.71 : x
  2. Step 2: Convert to fraction form
    1,230.03/1,842.99 = 971.71/x
  3. Step 3: Cross multiply
    1,230.03x = 1,842.99 × 971.71
  4. Step 4: Simplify right side
    1,230.03x = 1,790,851.81
  5. Step 5: Solve for x
    x = 1,790,851.81/1,230.03
  6. Step 6: Final answer
    x = 1,455.94

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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.