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Finding the Fourth Proportional to 2,670.69, 4,005.41 and 723.05

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Solution

The fourth proportional to 2,670.69, 4,005.41 and 723.05 is: 1,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.69 : 4,005.41 = 723.05 : x
  2. Step 2: Convert to fraction form
    2,670.69/4,005.41 = 723.05/x
  3. Step 3: Cross multiply
    2,670.69x = 4,005.41 × 723.05
  4. Step 4: Simplify right side
    2,670.69x = 2,896,088.06
  5. Step 5: Solve for x
    x = 2,896,088.06/2,670.69
  6. Step 6: Final answer
    x = 1,084.40

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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.