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Finding the Fourth Proportional to 983.66, 1,475.42 and 572.54

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Solution

The fourth proportional to 983.66, 1,475.42 and 572.54 is: 858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.66 : 1,475.42 = 572.54 : x
  2. Step 2: Convert to fraction form
    983.66/1,475.42 = 572.54/x
  3. Step 3: Cross multiply
    983.66x = 1,475.42 × 572.54
  4. Step 4: Simplify right side
    983.66x = 844,736.97
  5. Step 5: Solve for x
    x = 844,736.97/983.66
  6. Step 6: Final answer
    x = 858.77

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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.