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Finding the Fourth Proportional to 1,317.38, 1,975.15 and 797.51

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Solution

The fourth proportional to 1,317.38, 1,975.15 and 797.51 is: 1,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.38 : 1,975.15 = 797.51 : x
  2. Step 2: Convert to fraction form
    1,317.38/1,975.15 = 797.51/x
  3. Step 3: Cross multiply
    1,317.38x = 1,975.15 × 797.51
  4. Step 4: Simplify right side
    1,317.38x = 1,575,207.81
  5. Step 5: Solve for x
    x = 1,575,207.81/1,317.38
  6. Step 6: Final answer
    x = 1,195.72

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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.