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Finding the Fourth Proportional to 984.80, 1,477.28 and 407.68

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Solution

The fourth proportional to 984.80, 1,477.28 and 407.68 is: 611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.80 : 1,477.28 = 407.68 : x
  2. Step 2: Convert to fraction form
    984.80/1,477.28 = 407.68/x
  3. Step 3: Cross multiply
    984.80x = 1,477.28 × 407.68
  4. Step 4: Simplify right side
    984.80x = 602,257.51
  5. Step 5: Solve for x
    x = 602,257.51/984.80
  6. Step 6: Final answer
    x = 611.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.