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Finding the Fourth Proportional to 654.21, 981.57 and 288.74

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Solution

The fourth proportional to 654.21, 981.57 and 288.74 is: 433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.21 : 981.57 = 288.74 : x
  2. Step 2: Convert to fraction form
    654.21/981.57 = 288.74/x
  3. Step 3: Cross multiply
    654.21x = 981.57 × 288.74
  4. Step 4: Simplify right side
    654.21x = 283,418.52
  5. Step 5: Solve for x
    x = 283,418.52/654.21
  6. Step 6: Final answer
    x = 433.22

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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.