Home / 1,030.61-1,422.30-588.66

Finding the Fourth Proportional to 1,030.61, 1,422.30 and 588.66

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Solution

The fourth proportional to 1,030.61, 1,422.30 and 588.66 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.61 : 1,422.30 = 588.66 : x
  2. Step 2: Convert to fraction form
    1,030.61/1,422.30 = 588.66/x
  3. Step 3: Cross multiply
    1,030.61x = 1,422.30 × 588.66
  4. Step 4: Simplify right side
    1,030.61x = 837,249.03
  5. Step 5: Solve for x
    x = 837,249.03/1,030.61
  6. Step 6: Final answer
    x = 812.38

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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.