Home / 1,030.26-1,421.84-588.20

Finding the Fourth Proportional to 1,030.26, 1,421.84 and 588.20

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Solution

The fourth proportional to 1,030.26, 1,421.84 and 588.20 is: 811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.26 : 1,421.84 = 588.20 : x
  2. Step 2: Convert to fraction form
    1,030.26/1,421.84 = 588.20/x
  3. Step 3: Cross multiply
    1,030.26x = 1,421.84 × 588.20
  4. Step 4: Simplify right side
    1,030.26x = 836,316.24
  5. Step 5: Solve for x
    x = 836,316.24/1,030.26
  6. Step 6: Final answer
    x = 811.75

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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.