Home / 1,090.23-1,633.60-569.46

Finding the Fourth Proportional to 1,090.23, 1,633.60 and 569.46

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Solution

The fourth proportional to 1,090.23, 1,633.60 and 569.46 is: 853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.23 : 1,633.60 = 569.46 : x
  2. Step 2: Convert to fraction form
    1,090.23/1,633.60 = 569.46/x
  3. Step 3: Cross multiply
    1,090.23x = 1,633.60 × 569.46
  4. Step 4: Simplify right side
    1,090.23x = 930,276.69
  5. Step 5: Solve for x
    x = 930,276.69/1,090.23
  6. Step 6: Final answer
    x = 853.29

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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.