Home / 1,030.70-1,422.36-588.60

Finding the Fourth Proportional to 1,030.70, 1,422.36 and 588.60

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Solution

The fourth proportional to 1,030.70, 1,422.36 and 588.60 is: 812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.70 : 1,422.36 = 588.60 : x
  2. Step 2: Convert to fraction form
    1,030.70/1,422.36 = 588.60/x
  3. Step 3: Cross multiply
    1,030.70x = 1,422.36 × 588.60
  4. Step 4: Simplify right side
    1,030.70x = 837,201.10
  5. Step 5: Solve for x
    x = 837,201.10/1,030.70
  6. Step 6: Final answer
    x = 812.27

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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.