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Finding the Fourth Proportional to 653.87, 980.75 and 307.28

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Solution

The fourth proportional to 653.87, 980.75 and 307.28 is: 460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.87 : 980.75 = 307.28 : x
  2. Step 2: Convert to fraction form
    653.87/980.75 = 307.28/x
  3. Step 3: Cross multiply
    653.87x = 980.75 × 307.28
  4. Step 4: Simplify right side
    653.87x = 301,364.40
  5. Step 5: Solve for x
    x = 301,364.40/653.87
  6. Step 6: Final answer
    x = 460.89

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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.