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Finding the Fourth Proportional to 654.23, 981.03 and 288.87

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Solution

The fourth proportional to 654.23, 981.03 and 288.87 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.23 : 981.03 = 288.87 : x
  2. Step 2: Convert to fraction form
    654.23/981.03 = 288.87/x
  3. Step 3: Cross multiply
    654.23x = 981.03 × 288.87
  4. Step 4: Simplify right side
    654.23x = 283,390.14
  5. Step 5: Solve for x
    x = 283,390.14/654.23
  6. Step 6: Final answer
    x = 433.17

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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.