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Finding the Fourth Proportional to 654.47, 983.07 and 556.94

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Solution

The fourth proportional to 654.47, 983.07 and 556.94 is: 836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.47 : 983.07 = 556.94 : x
  2. Step 2: Convert to fraction form
    654.47/983.07 = 556.94/x
  3. Step 3: Cross multiply
    654.47x = 983.07 × 556.94
  4. Step 4: Simplify right side
    654.47x = 547,511.01
  5. Step 5: Solve for x
    x = 547,511.01/654.47
  6. Step 6: Final answer
    x = 836.57

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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.