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Finding the Fourth Proportional to 677,013, 1,009,466.81 and 658,412.57

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Solution

The fourth proportional to 677,013, 1,009,466.81 and 658,412.57 is: 981,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,013 : 1,009,466.81 = 658,412.57 : x
  2. Step 2: Convert to fraction form
    677,013/1,009,466.81 = 658,412.57/x
  3. Step 3: Cross multiply
    677,013x = 1,009,466.81 × 658,412.57
  4. Step 4: Simplify right side
    677,013x = 664,645,628,362.41
  5. Step 5: Solve for x
    x = 664,645,628,362.41/677,013
  6. Step 6: Final answer
    x = 981,732.45

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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.