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Finding the Fourth Proportional to 657.74, 982.37 and 595.91

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Solution

The fourth proportional to 657.74, 982.37 and 595.91 is: 890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.74 : 982.37 = 595.91 : x
  2. Step 2: Convert to fraction form
    657.74/982.37 = 595.91/x
  3. Step 3: Cross multiply
    657.74x = 982.37 × 595.91
  4. Step 4: Simplify right side
    657.74x = 585,396.22
  5. Step 5: Solve for x
    x = 585,396.22/657.74
  6. Step 6: Final answer
    x = 890.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.