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Finding the Fourth Proportional to 1,030.67, 1,421.97 and 588.26

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Solution

The fourth proportional to 1,030.67, 1,421.97 and 588.26 is: 811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.67 : 1,421.97 = 588.26 : x
  2. Step 2: Convert to fraction form
    1,030.67/1,421.97 = 588.26/x
  3. Step 3: Cross multiply
    1,030.67x = 1,421.97 × 588.26
  4. Step 4: Simplify right side
    1,030.67x = 836,480.96
  5. Step 5: Solve for x
    x = 836,480.96/1,030.67
  6. Step 6: Final answer
    x = 811.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.