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Finding the Fourth Proportional to 1,317.56, 1,980.18 and 634.04

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Solution

The fourth proportional to 1,317.56, 1,980.18 and 634.04 is: 952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.56 : 1,980.18 = 634.04 : x
  2. Step 2: Convert to fraction form
    1,317.56/1,980.18 = 634.04/x
  3. Step 3: Cross multiply
    1,317.56x = 1,980.18 × 634.04
  4. Step 4: Simplify right side
    1,317.56x = 1,255,513.33
  5. Step 5: Solve for x
    x = 1,255,513.33/1,317.56
  6. Step 6: Final answer
    x = 952.91

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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.