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Finding the Fourth Proportional to 984.81, 1,484.01 and 815.31

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Solution

The fourth proportional to 984.81, 1,484.01 and 815.31 is: 1,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.81 : 1,484.01 = 815.31 : x
  2. Step 2: Convert to fraction form
    984.81/1,484.01 = 815.31/x
  3. Step 3: Cross multiply
    984.81x = 1,484.01 × 815.31
  4. Step 4: Simplify right side
    984.81x = 1,209,928.19
  5. Step 5: Solve for x
    x = 1,209,928.19/984.81
  6. Step 6: Final answer
    x = 1,228.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.