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Finding the Fourth Proportional to 1,783.04, 2,672.68 and 612.68

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Solution

The fourth proportional to 1,783.04, 2,672.68 and 612.68 is: 918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.04 : 2,672.68 = 612.68 : x
  2. Step 2: Convert to fraction form
    1,783.04/2,672.68 = 612.68/x
  3. Step 3: Cross multiply
    1,783.04x = 2,672.68 × 612.68
  4. Step 4: Simplify right side
    1,783.04x = 1,637,497.58
  5. Step 5: Solve for x
    x = 1,637,497.58/1,783.04
  6. Step 6: Final answer
    x = 918.37

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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.