Home / 1,030.22-1,421.78-588.26

Finding the Fourth Proportional to 1,030.22, 1,421.78 and 588.26

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Solution

The fourth proportional to 1,030.22, 1,421.78 and 588.26 is: 811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.22 : 1,421.78 = 588.26 : x
  2. Step 2: Convert to fraction form
    1,030.22/1,421.78 = 588.26/x
  3. Step 3: Cross multiply
    1,030.22x = 1,421.78 × 588.26
  4. Step 4: Simplify right side
    1,030.22x = 836,378.57
  5. Step 5: Solve for x
    x = 836,378.57/1,030.22
  6. Step 6: Final answer
    x = 811.85

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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.