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Finding the Fourth Proportional to 1,780.02, 2,670.02 and 684.12

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Solution

The fourth proportional to 1,780.02, 2,670.02 and 684.12 is: 1,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.02 : 2,670.02 = 684.12 : x
  2. Step 2: Convert to fraction form
    1,780.02/2,670.02 = 684.12/x
  3. Step 3: Cross multiply
    1,780.02x = 2,670.02 × 684.12
  4. Step 4: Simplify right side
    1,780.02x = 1,826,614.08
  5. Step 5: Solve for x
    x = 1,826,614.08/1,780.02
  6. Step 6: Final answer
    x = 1,026.18

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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.