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Finding the Fourth Proportional to 789.09, 1,088.40 and 623.04

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Solution

The fourth proportional to 789.09, 1,088.40 and 623.04 is: 859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.09 : 1,088.40 = 623.04 : x
  2. Step 2: Convert to fraction form
    789.09/1,088.40 = 623.04/x
  3. Step 3: Cross multiply
    789.09x = 1,088.40 × 623.04
  4. Step 4: Simplify right side
    789.09x = 678,116.74
  5. Step 5: Solve for x
    x = 678,116.74/789.09
  6. Step 6: Final answer
    x = 859.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.