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Finding the Fourth Proportional to 676.21, 1,013.39 and 596.02

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Solution

The fourth proportional to 676.21, 1,013.39 and 596.02 is: 893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.21 : 1,013.39 = 596.02 : x
  2. Step 2: Convert to fraction form
    676.21/1,013.39 = 596.02/x
  3. Step 3: Cross multiply
    676.21x = 1,013.39 × 596.02
  4. Step 4: Simplify right side
    676.21x = 603,999.83
  5. Step 5: Solve for x
    x = 603,999.83/676.21
  6. Step 6: Final answer
    x = 893.22

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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.