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Finding the Fourth Proportional to 1,300.43, 1,794.63 and 711.00

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Solution

The fourth proportional to 1,300.43, 1,794.63 and 711.00 is: 981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.43 : 1,794.63 = 711.00 : x
  2. Step 2: Convert to fraction form
    1,300.43/1,794.63 = 711.00/x
  3. Step 3: Cross multiply
    1,300.43x = 1,794.63 × 711.00
  4. Step 4: Simplify right side
    1,300.43x = 1,275,987.64
  5. Step 5: Solve for x
    x = 1,275,987.64/1,300.43
  6. Step 6: Final answer
    x = 981.20

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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.