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Finding the Fourth Proportional to 970.97, 1,340.24 and 921.37

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Solution

The fourth proportional to 970.97, 1,340.24 and 921.37 is: 1,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.97 : 1,340.24 = 921.37 : x
  2. Step 2: Convert to fraction form
    970.97/1,340.24 = 921.37/x
  3. Step 3: Cross multiply
    970.97x = 1,340.24 × 921.37
  4. Step 4: Simplify right side
    970.97x = 1,234,854.00
  5. Step 5: Solve for x
    x = 1,234,854.00/970.97
  6. Step 6: Final answer
    x = 1,271.77

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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.