Home / 1,030.23-1,421.55-588.20

Finding the Fourth Proportional to 1,030.23, 1,421.55 and 588.20

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Solution

The fourth proportional to 1,030.23, 1,421.55 and 588.20 is: 811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.23 : 1,421.55 = 588.20 : x
  2. Step 2: Convert to fraction form
    1,030.23/1,421.55 = 588.20/x
  3. Step 3: Cross multiply
    1,030.23x = 1,421.55 × 588.20
  4. Step 4: Simplify right side
    1,030.23x = 836,148.60
  5. Step 5: Solve for x
    x = 836,148.60/1,030.23
  6. Step 6: Final answer
    x = 811.61

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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.