Home / 1,030.13-1,421.64-588.17

Finding the Fourth Proportional to 1,030.13, 1,421.64 and 588.17

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Solution

The fourth proportional to 1,030.13, 1,421.64 and 588.17 is: 811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.13 : 1,421.64 = 588.17 : x
  2. Step 2: Convert to fraction form
    1,030.13/1,421.64 = 588.17/x
  3. Step 3: Cross multiply
    1,030.13x = 1,421.64 × 588.17
  4. Step 4: Simplify right side
    1,030.13x = 836,166.00
  5. Step 5: Solve for x
    x = 836,166.00/1,030.13
  6. Step 6: Final answer
    x = 811.71

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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.