Home / 1,030.19-1,421.78-588.15

Finding the Fourth Proportional to 1,030.19, 1,421.78 and 588.15

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Solution

The fourth proportional to 1,030.19, 1,421.78 and 588.15 is: 811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.19 : 1,421.78 = 588.15 : x
  2. Step 2: Convert to fraction form
    1,030.19/1,421.78 = 588.15/x
  3. Step 3: Cross multiply
    1,030.19x = 1,421.78 × 588.15
  4. Step 4: Simplify right side
    1,030.19x = 836,216.97
  5. Step 5: Solve for x
    x = 836,216.97/1,030.19
  6. Step 6: Final answer
    x = 811.72

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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.