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Finding the Fourth Proportional to 970.86, 1,340.67 and 622.16

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Solution

The fourth proportional to 970.86, 1,340.67 and 622.16 is: 859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.86 : 1,340.67 = 622.16 : x
  2. Step 2: Convert to fraction form
    970.86/1,340.67 = 622.16/x
  3. Step 3: Cross multiply
    970.86x = 1,340.67 × 622.16
  4. Step 4: Simplify right side
    970.86x = 834,104.54
  5. Step 5: Solve for x
    x = 834,104.54/970.86
  6. Step 6: Final answer
    x = 859.14

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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.