Home / 1,030.61-1,422.33-588.67

Finding the Fourth Proportional to 1,030.61, 1,422.33 and 588.67

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Solution

The fourth proportional to 1,030.61, 1,422.33 and 588.67 is: 812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.61 : 1,422.33 = 588.67 : x
  2. Step 2: Convert to fraction form
    1,030.61/1,422.33 = 588.67/x
  3. Step 3: Cross multiply
    1,030.61x = 1,422.33 × 588.67
  4. Step 4: Simplify right side
    1,030.61x = 837,283.00
  5. Step 5: Solve for x
    x = 837,283.00/1,030.61
  6. Step 6: Final answer
    x = 812.41

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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.