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Finding the Fourth Proportional to 1,428.95, 1,970.66 and 897.88

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Solution

The fourth proportional to 1,428.95, 1,970.66 and 897.88 is: 1,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.95 : 1,970.66 = 897.88 : x
  2. Step 2: Convert to fraction form
    1,428.95/1,970.66 = 897.88/x
  3. Step 3: Cross multiply
    1,428.95x = 1,970.66 × 897.88
  4. Step 4: Simplify right side
    1,428.95x = 1,769,416.20
  5. Step 5: Solve for x
    x = 1,769,416.20/1,428.95
  6. Step 6: Final answer
    x = 1,238.27

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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.