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Finding the Fourth Proportional to 970.20, 1,448.26 and 897.92

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Solution

The fourth proportional to 970.20, 1,448.26 and 897.92 is: 1,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.20 : 1,448.26 = 897.92 : x
  2. Step 2: Convert to fraction form
    970.20/1,448.26 = 897.92/x
  3. Step 3: Cross multiply
    970.20x = 1,448.26 × 897.92
  4. Step 4: Simplify right side
    970.20x = 1,300,421.62
  5. Step 5: Solve for x
    x = 1,300,421.62/970.20
  6. Step 6: Final answer
    x = 1,340.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.