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Finding the Fourth Proportional to 1,090.33, 1,504.57 and 618.23

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Solution

The fourth proportional to 1,090.33, 1,504.57 and 618.23 is: 853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.33 : 1,504.57 = 618.23 : x
  2. Step 2: Convert to fraction form
    1,090.33/1,504.57 = 618.23/x
  3. Step 3: Cross multiply
    1,090.33x = 1,504.57 × 618.23
  4. Step 4: Simplify right side
    1,090.33x = 930,170.31
  5. Step 5: Solve for x
    x = 930,170.31/1,090.33
  6. Step 6: Final answer
    x = 853.11

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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.