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Finding the Fourth Proportional to 688.89, 945.05 and 668.08

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Solution

The fourth proportional to 688.89, 945.05 and 668.08 is: 916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.89 : 945.05 = 668.08 : x
  2. Step 2: Convert to fraction form
    688.89/945.05 = 668.08/x
  3. Step 3: Cross multiply
    688.89x = 945.05 × 668.08
  4. Step 4: Simplify right side
    688.89x = 631,365.66
  5. Step 5: Solve for x
    x = 631,365.66/688.89
  6. Step 6: Final answer
    x = 916.50

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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.