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Finding the Fourth Proportional to 648.85, 890.54 and 593.23

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Solution

The fourth proportional to 648.85, 890.54 and 593.23 is: 814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.85 : 890.54 = 593.23 : x
  2. Step 2: Convert to fraction form
    648.85/890.54 = 593.23/x
  3. Step 3: Cross multiply
    648.85x = 890.54 × 593.23
  4. Step 4: Simplify right side
    648.85x = 528,295.04
  5. Step 5: Solve for x
    x = 528,295.04/648.85
  6. Step 6: Final answer
    x = 814.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.