Home / 1,030.87-1,422.25-588.45

Finding the Fourth Proportional to 1,030.87, 1,422.25 and 588.45

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Solution

The fourth proportional to 1,030.87, 1,422.25 and 588.45 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.87 : 1,422.25 = 588.45 : x
  2. Step 2: Convert to fraction form
    1,030.87/1,422.25 = 588.45/x
  3. Step 3: Cross multiply
    1,030.87x = 1,422.25 × 588.45
  4. Step 4: Simplify right side
    1,030.87x = 836,923.01
  5. Step 5: Solve for x
    x = 836,923.01/1,030.87
  6. Step 6: Final answer
    x = 811.86

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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.