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Finding the Fourth Proportional to 970.93, 1,453.99 and 909.42

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Solution

The fourth proportional to 970.93, 1,453.99 and 909.42 is: 1,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.93 : 1,453.99 = 909.42 : x
  2. Step 2: Convert to fraction form
    970.93/1,453.99 = 909.42/x
  3. Step 3: Cross multiply
    970.93x = 1,453.99 × 909.42
  4. Step 4: Simplify right side
    970.93x = 1,322,287.59
  5. Step 5: Solve for x
    x = 1,322,287.59/970.93
  6. Step 6: Final answer
    x = 1,361.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.