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Finding the Fourth Proportional to 654.34, 980.97 and 307.51

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Solution

The fourth proportional to 654.34, 980.97 and 307.51 is: 461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.34 : 980.97 = 307.51 : x
  2. Step 2: Convert to fraction form
    654.34/980.97 = 307.51/x
  3. Step 3: Cross multiply
    654.34x = 980.97 × 307.51
  4. Step 4: Simplify right side
    654.34x = 301,658.08
  5. Step 5: Solve for x
    x = 301,658.08/654.34
  6. Step 6: Final answer
    x = 461.01

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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.