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Finding the Fourth Proportional to 1,300.99, 1,946.69 and 781.31

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Solution

The fourth proportional to 1,300.99, 1,946.69 and 781.31 is: 1,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.99 : 1,946.69 = 781.31 : x
  2. Step 2: Convert to fraction form
    1,300.99/1,946.69 = 781.31/x
  3. Step 3: Cross multiply
    1,300.99x = 1,946.69 × 781.31
  4. Step 4: Simplify right side
    1,300.99x = 1,520,968.36
  5. Step 5: Solve for x
    x = 1,520,968.36/1,300.99
  6. Step 6: Final answer
    x = 1,169.09

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