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Finding the Fourth Proportional to 984.77, 1,476.94 and 436.60

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Solution

The fourth proportional to 984.77, 1,476.94 and 436.60 is: 654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.77 : 1,476.94 = 436.60 : x
  2. Step 2: Convert to fraction form
    984.77/1,476.94 = 436.60/x
  3. Step 3: Cross multiply
    984.77x = 1,476.94 × 436.60
  4. Step 4: Simplify right side
    984.77x = 644,828.86
  5. Step 5: Solve for x
    x = 644,828.86/984.77
  6. Step 6: Final answer
    x = 654.80

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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.