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Finding the Fourth Proportional to 983.44, 1,476.01 and 521.55

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Solution

The fourth proportional to 983.44, 1,476.01 and 521.55 is: 782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.44 : 1,476.01 = 521.55 : x
  2. Step 2: Convert to fraction form
    983.44/1,476.01 = 521.55/x
  3. Step 3: Cross multiply
    983.44x = 1,476.01 × 521.55
  4. Step 4: Simplify right side
    983.44x = 769,803.03
  5. Step 5: Solve for x
    x = 769,803.03/983.44
  6. Step 6: Final answer
    x = 782.77

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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.