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Finding the Fourth Proportional to 1,089.97, 1,504.14 and 624.22

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Solution

The fourth proportional to 1,089.97, 1,504.14 and 624.22 is: 861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.97 : 1,504.14 = 624.22 : x
  2. Step 2: Convert to fraction form
    1,089.97/1,504.14 = 624.22/x
  3. Step 3: Cross multiply
    1,089.97x = 1,504.14 × 624.22
  4. Step 4: Simplify right side
    1,089.97x = 938,914.27
  5. Step 5: Solve for x
    x = 938,914.27/1,089.97
  6. Step 6: Final answer
    x = 861.41

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1.5x scale

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.