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Finding the Fourth Proportional to 975.13, 1,342.94 and 972.09

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Solution

The fourth proportional to 975.13, 1,342.94 and 972.09 is: 1,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.13 : 1,342.94 = 972.09 : x
  2. Step 2: Convert to fraction form
    975.13/1,342.94 = 972.09/x
  3. Step 3: Cross multiply
    975.13x = 1,342.94 × 972.09
  4. Step 4: Simplify right side
    975.13x = 1,305,458.54
  5. Step 5: Solve for x
    x = 1,305,458.54/975.13
  6. Step 6: Final answer
    x = 1,338.75

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1.5x scale

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.