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Finding the Fourth Proportional to 1,679.69, 2,317.29 and 971.40

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Solution

The fourth proportional to 1,679.69, 2,317.29 and 971.40 is: 1,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.69 : 2,317.29 = 971.40 : x
  2. Step 2: Convert to fraction form
    1,679.69/2,317.29 = 971.40/x
  3. Step 3: Cross multiply
    1,679.69x = 2,317.29 × 971.40
  4. Step 4: Simplify right side
    1,679.69x = 2,250,999.06
  5. Step 5: Solve for x
    x = 2,250,999.06/1,679.69
  6. Step 6: Final answer
    x = 1,340.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.