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Finding the Fourth Proportional to 1,440.50, 1,987.65 and 810.99

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Solution

The fourth proportional to 1,440.50, 1,987.65 and 810.99 is: 1,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.50 : 1,987.65 = 810.99 : x
  2. Step 2: Convert to fraction form
    1,440.50/1,987.65 = 810.99/x
  3. Step 3: Cross multiply
    1,440.50x = 1,987.65 × 810.99
  4. Step 4: Simplify right side
    1,440.50x = 1,611,964.27
  5. Step 5: Solve for x
    x = 1,611,964.27/1,440.50
  6. Step 6: Final answer
    x = 1,119.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.