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Finding the Fourth Proportional to 1,782.58, 2,674.19 and 612.71

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Solution

The fourth proportional to 1,782.58, 2,674.19 and 612.71 is: 919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.58 : 2,674.19 = 612.71 : x
  2. Step 2: Convert to fraction form
    1,782.58/2,674.19 = 612.71/x
  3. Step 3: Cross multiply
    1,782.58x = 2,674.19 × 612.71
  4. Step 4: Simplify right side
    1,782.58x = 1,638,489.31
  5. Step 5: Solve for x
    x = 1,638,489.31/1,782.58
  6. Step 6: Final answer
    x = 919.17

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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.