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Finding the Fourth Proportional to 654.02, 980.57 and 307.17

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Solution

The fourth proportional to 654.02, 980.57 and 307.17 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 980.57 = 307.17 : x
  2. Step 2: Convert to fraction form
    654.02/980.57 = 307.17/x
  3. Step 3: Cross multiply
    654.02x = 980.57 × 307.17
  4. Step 4: Simplify right side
    654.02x = 301,201.69
  5. Step 5: Solve for x
    x = 301,201.69/654.02
  6. Step 6: Final answer
    x = 460.54

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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.