Home / 1,030.64-1,422.38-588.60

Finding the Fourth Proportional to 1,030.64, 1,422.38 and 588.60

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Solution

The fourth proportional to 1,030.64, 1,422.38 and 588.60 is: 812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.64 : 1,422.38 = 588.60 : x
  2. Step 2: Convert to fraction form
    1,030.64/1,422.38 = 588.60/x
  3. Step 3: Cross multiply
    1,030.64x = 1,422.38 × 588.60
  4. Step 4: Simplify right side
    1,030.64x = 837,213.48
  5. Step 5: Solve for x
    x = 837,213.48/1,030.64
  6. Step 6: Final answer
    x = 812.33

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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.