Home / 1,030.46-1,422.11-588.35

Finding the Fourth Proportional to 1,030.46, 1,422.11 and 588.35

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Solution

The fourth proportional to 1,030.46, 1,422.11 and 588.35 is: 811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.46 : 1,422.11 = 588.35 : x
  2. Step 2: Convert to fraction form
    1,030.46/1,422.11 = 588.35/x
  3. Step 3: Cross multiply
    1,030.46x = 1,422.11 × 588.35
  4. Step 4: Simplify right side
    1,030.46x = 836,688.37
  5. Step 5: Solve for x
    x = 836,688.37/1,030.46
  6. Step 6: Final answer
    x = 811.96

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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.