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Finding the Fourth Proportional to 679.06, 1,024.40 and 658.33

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Solution

The fourth proportional to 679.06, 1,024.40 and 658.33 is: 993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.06 : 1,024.40 = 658.33 : x
  2. Step 2: Convert to fraction form
    679.06/1,024.40 = 658.33/x
  3. Step 3: Cross multiply
    679.06x = 1,024.40 × 658.33
  4. Step 4: Simplify right side
    679.06x = 674,393.25
  5. Step 5: Solve for x
    x = 674,393.25/679.06
  6. Step 6: Final answer
    x = 993.13

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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.