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Finding the Fourth Proportional to 984.40, 1,477.81 and 781.49

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Solution

The fourth proportional to 984.40, 1,477.81 and 781.49 is: 1,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.40 : 1,477.81 = 781.49 : x
  2. Step 2: Convert to fraction form
    984.40/1,477.81 = 781.49/x
  3. Step 3: Cross multiply
    984.40x = 1,477.81 × 781.49
  4. Step 4: Simplify right side
    984.40x = 1,154,893.74
  5. Step 5: Solve for x
    x = 1,154,893.74/984.40
  6. Step 6: Final answer
    x = 1,173.20

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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.