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Finding the Fourth Proportional to 1,470.02, 2,200.70 and 891.14

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Solution

The fourth proportional to 1,470.02, 2,200.70 and 891.14 is: 1,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.02 : 2,200.70 = 891.14 : x
  2. Step 2: Convert to fraction form
    1,470.02/2,200.70 = 891.14/x
  3. Step 3: Cross multiply
    1,470.02x = 2,200.70 × 891.14
  4. Step 4: Simplify right side
    1,470.02x = 1,961,131.80
  5. Step 5: Solve for x
    x = 1,961,131.80/1,470.02
  6. Step 6: Final answer
    x = 1,334.09

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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.