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Finding the Fourth Proportional to 653.95, 980.57 and 302.17

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Solution

The fourth proportional to 653.95, 980.57 and 302.17 is: 453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.95 : 980.57 = 302.17 : x
  2. Step 2: Convert to fraction form
    653.95/980.57 = 302.17/x
  3. Step 3: Cross multiply
    653.95x = 980.57 × 302.17
  4. Step 4: Simplify right side
    653.95x = 296,298.84
  5. Step 5: Solve for x
    x = 296,298.84/653.95
  6. Step 6: Final answer
    x = 453.09

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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.