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Finding the Fourth Proportional to 700.65, 1,043.60 and 669.06

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Solution

The fourth proportional to 700.65, 1,043.60 and 669.06 is: 996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.65 : 1,043.60 = 669.06 : x
  2. Step 2: Convert to fraction form
    700.65/1,043.60 = 669.06/x
  3. Step 3: Cross multiply
    700.65x = 1,043.60 × 669.06
  4. Step 4: Simplify right side
    700.65x = 698,227.67
  5. Step 5: Solve for x
    x = 698,227.67/700.65
  6. Step 6: Final answer
    x = 996.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.