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Finding the Fourth Proportional to 688.65, 943.90 and 664.05

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Solution

The fourth proportional to 688.65, 943.90 and 664.05 is: 910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.65 : 943.90 = 664.05 : x
  2. Step 2: Convert to fraction form
    688.65/943.90 = 664.05/x
  3. Step 3: Cross multiply
    688.65x = 943.90 × 664.05
  4. Step 4: Simplify right side
    688.65x = 626,795.13
  5. Step 5: Solve for x
    x = 626,795.13/688.65
  6. Step 6: Final answer
    x = 910.18

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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.