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Finding the Fourth Proportional to 983.54, 1,474.95 and 290.03

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Solution

The fourth proportional to 983.54, 1,474.95 and 290.03 is: 434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.54 : 1,474.95 = 290.03 : x
  2. Step 2: Convert to fraction form
    983.54/1,474.95 = 290.03/x
  3. Step 3: Cross multiply
    983.54x = 1,474.95 × 290.03
  4. Step 4: Simplify right side
    983.54x = 427,779.75
  5. Step 5: Solve for x
    x = 427,779.75/983.54
  6. Step 6: Final answer
    x = 434.94

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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.