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Finding the Fourth Proportional to 1,016.40, 1,521.40 and 984.40

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Solution

The fourth proportional to 1,016.40, 1,521.40 and 984.40 is: 1,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.40 : 1,521.40 = 984.40 : x
  2. Step 2: Convert to fraction form
    1,016.40/1,521.40 = 984.40/x
  3. Step 3: Cross multiply
    1,016.40x = 1,521.40 × 984.40
  4. Step 4: Simplify right side
    1,016.40x = 1,497,666.16
  5. Step 5: Solve for x
    x = 1,497,666.16/1,016.40
  6. Step 6: Final answer
    x = 1,473.50

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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.