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Finding the Fourth Proportional to 972.86, 1,343.74 and 958.28

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Solution

The fourth proportional to 972.86, 1,343.74 and 958.28 is: 1,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.86 : 1,343.74 = 958.28 : x
  2. Step 2: Convert to fraction form
    972.86/1,343.74 = 958.28/x
  3. Step 3: Cross multiply
    972.86x = 1,343.74 × 958.28
  4. Step 4: Simplify right side
    972.86x = 1,287,679.41
  5. Step 5: Solve for x
    x = 1,287,679.41/972.86
  6. Step 6: Final answer
    x = 1,323.60

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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.