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Finding the Fourth Proportional to 1,090.48, 1,504.81 and 618.40

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Solution

The fourth proportional to 1,090.48, 1,504.81 and 618.40 is: 853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.48 : 1,504.81 = 618.40 : x
  2. Step 2: Convert to fraction form
    1,090.48/1,504.81 = 618.40/x
  3. Step 3: Cross multiply
    1,090.48x = 1,504.81 × 618.40
  4. Step 4: Simplify right side
    1,090.48x = 930,569.20
  5. Step 5: Solve for x
    x = 930,569.20/1,090.48
  6. Step 6: Final answer
    x = 853.36

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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.