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Finding the Fourth Proportional to 975.60, 1,345.29 and 797.23

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Solution

The fourth proportional to 975.60, 1,345.29 and 797.23 is: 1,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.60 : 1,345.29 = 797.23 : x
  2. Step 2: Convert to fraction form
    975.60/1,345.29 = 797.23/x
  3. Step 3: Cross multiply
    975.60x = 1,345.29 × 797.23
  4. Step 4: Simplify right side
    975.60x = 1,072,505.55
  5. Step 5: Solve for x
    x = 1,072,505.55/975.60
  6. Step 6: Final answer
    x = 1,099.33

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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.