Home / 1,021.60-1,409.75-573.55

Finding the Fourth Proportional to 1,021.60, 1,409.75 and 573.55

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Solution

The fourth proportional to 1,021.60, 1,409.75 and 573.55 is: 791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.60 : 1,409.75 = 573.55 : x
  2. Step 2: Convert to fraction form
    1,021.60/1,409.75 = 573.55/x
  3. Step 3: Cross multiply
    1,021.60x = 1,409.75 × 573.55
  4. Step 4: Simplify right side
    1,021.60x = 808,561.10
  5. Step 5: Solve for x
    x = 808,561.10/1,021.60
  6. Step 6: Final answer
    x = 791.46

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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.