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Finding the Fourth Proportional to 668.85, 920.98 and 593.07

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Solution

The fourth proportional to 668.85, 920.98 and 593.07 is: 816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.85 : 920.98 = 593.07 : x
  2. Step 2: Convert to fraction form
    668.85/920.98 = 593.07/x
  3. Step 3: Cross multiply
    668.85x = 920.98 × 593.07
  4. Step 4: Simplify right side
    668.85x = 546,204.13
  5. Step 5: Solve for x
    x = 546,204.13/668.85
  6. Step 6: Final answer
    x = 816.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.