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Finding the Fourth Proportional to 784.99, 1,172.18 and 682.51

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Solution

The fourth proportional to 784.99, 1,172.18 and 682.51 is: 1,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.99 : 1,172.18 = 682.51 : x
  2. Step 2: Convert to fraction form
    784.99/1,172.18 = 682.51/x
  3. Step 3: Cross multiply
    784.99x = 1,172.18 × 682.51
  4. Step 4: Simplify right side
    784.99x = 800,024.57
  5. Step 5: Solve for x
    x = 800,024.57/784.99
  6. Step 6: Final answer
    x = 1,019.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.