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Finding the Fourth Proportional to 983.63, 1,475.66 and 290.24

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Solution

The fourth proportional to 983.63, 1,475.66 and 290.24 is: 435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.63 : 1,475.66 = 290.24 : x
  2. Step 2: Convert to fraction form
    983.63/1,475.66 = 290.24/x
  3. Step 3: Cross multiply
    983.63x = 1,475.66 × 290.24
  4. Step 4: Simplify right side
    983.63x = 428,294.11
  5. Step 5: Solve for x
    x = 428,294.11/983.63
  6. Step 6: Final answer
    x = 435.42

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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.