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Finding the Fourth Proportional to 689.11, 1,035.02 and 591.58

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Solution

The fourth proportional to 689.11, 1,035.02 and 591.58 is: 888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.11 : 1,035.02 = 591.58 : x
  2. Step 2: Convert to fraction form
    689.11/1,035.02 = 591.58/x
  3. Step 3: Cross multiply
    689.11x = 1,035.02 × 591.58
  4. Step 4: Simplify right side
    689.11x = 612,297.13
  5. Step 5: Solve for x
    x = 612,297.13/689.11
  6. Step 6: Final answer
    x = 888.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.