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Finding the Fourth Proportional to 1,780.21, 2,670.66 and 684.50

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Solution

The fourth proportional to 1,780.21, 2,670.66 and 684.50 is: 1,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.21 : 2,670.66 = 684.50 : x
  2. Step 2: Convert to fraction form
    1,780.21/2,670.66 = 684.50/x
  3. Step 3: Cross multiply
    1,780.21x = 2,670.66 × 684.50
  4. Step 4: Simplify right side
    1,780.21x = 1,828,066.77
  5. Step 5: Solve for x
    x = 1,828,066.77/1,780.21
  6. Step 6: Final answer
    x = 1,026.88

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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.