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Finding the Fourth Proportional to 676.81, 1,019.17 and 591.19

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Solution

The fourth proportional to 676.81, 1,019.17 and 591.19 is: 890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.81 : 1,019.17 = 591.19 : x
  2. Step 2: Convert to fraction form
    676.81/1,019.17 = 591.19/x
  3. Step 3: Cross multiply
    676.81x = 1,019.17 × 591.19
  4. Step 4: Simplify right side
    676.81x = 602,523.11
  5. Step 5: Solve for x
    x = 602,523.11/676.81
  6. Step 6: Final answer
    x = 890.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.