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Finding the Fourth Proportional to 1,782.79, 2,674.18 and 742.77

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Solution

The fourth proportional to 1,782.79, 2,674.18 and 742.77 is: 1,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.79 : 2,674.18 = 742.77 : x
  2. Step 2: Convert to fraction form
    1,782.79/2,674.18 = 742.77/x
  3. Step 3: Cross multiply
    1,782.79x = 2,674.18 × 742.77
  4. Step 4: Simplify right side
    1,782.79x = 1,986,300.68
  5. Step 5: Solve for x
    x = 1,986,300.68/1,782.79
  6. Step 6: Final answer
    x = 1,114.15

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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.