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Finding the Fourth Proportional to 1,317.47, 1,975.19 and 797.34

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Solution

The fourth proportional to 1,317.47, 1,975.19 and 797.34 is: 1,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.47 : 1,975.19 = 797.34 : x
  2. Step 2: Convert to fraction form
    1,317.47/1,975.19 = 797.34/x
  3. Step 3: Cross multiply
    1,317.47x = 1,975.19 × 797.34
  4. Step 4: Simplify right side
    1,317.47x = 1,574,894.01
  5. Step 5: Solve for x
    x = 1,574,894.01/1,317.47
  6. Step 6: Final answer
    x = 1,195.40

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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.