Home / 1,030.19-1,421.72-588.20

Finding the Fourth Proportional to 1,030.19, 1,421.72 and 588.20

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Solution

The fourth proportional to 1,030.19, 1,421.72 and 588.20 is: 811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.19 : 1,421.72 = 588.20 : x
  2. Step 2: Convert to fraction form
    1,030.19/1,421.72 = 588.20/x
  3. Step 3: Cross multiply
    1,030.19x = 1,421.72 × 588.20
  4. Step 4: Simplify right side
    1,030.19x = 836,247.86
  5. Step 5: Solve for x
    x = 836,247.86/1,030.19
  6. Step 6: Final answer
    x = 811.75

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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.