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Finding the Fourth Proportional to 653.46, 980.44 and 287.99

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Solution

The fourth proportional to 653.46, 980.44 and 287.99 is: 432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.46 : 980.44 = 287.99 : x
  2. Step 2: Convert to fraction form
    653.46/980.44 = 287.99/x
  3. Step 3: Cross multiply
    653.46x = 980.44 × 287.99
  4. Step 4: Simplify right side
    653.46x = 282,356.92
  5. Step 5: Solve for x
    x = 282,356.92/653.46
  6. Step 6: Final answer
    x = 432.10

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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.