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Finding the Fourth Proportional to 654.27, 981.33 and 410.05

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Solution

The fourth proportional to 654.27, 981.33 and 410.05 is: 615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.27 : 981.33 = 410.05 : x
  2. Step 2: Convert to fraction form
    654.27/981.33 = 410.05/x
  3. Step 3: Cross multiply
    654.27x = 981.33 × 410.05
  4. Step 4: Simplify right side
    654.27x = 402,394.37
  5. Step 5: Solve for x
    x = 402,394.37/654.27
  6. Step 6: Final answer
    x = 615.03

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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.