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Finding the Fourth Proportional to 984.40, 1,357.32 and 591.28

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Solution

The fourth proportional to 984.40, 1,357.32 and 591.28 is: 815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.40 : 1,357.32 = 591.28 : x
  2. Step 2: Convert to fraction form
    984.40/1,357.32 = 591.28/x
  3. Step 3: Cross multiply
    984.40x = 1,357.32 × 591.28
  4. Step 4: Simplify right side
    984.40x = 802,556.17
  5. Step 5: Solve for x
    x = 802,556.17/984.40
  6. Step 6: Final answer
    x = 815.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.