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Finding the Fourth Proportional to 653.52, 979.83 and 288.21

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Solution

The fourth proportional to 653.52, 979.83 and 288.21 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 979.83 = 288.21 : x
  2. Step 2: Convert to fraction form
    653.52/979.83 = 288.21/x
  3. Step 3: Cross multiply
    653.52x = 979.83 × 288.21
  4. Step 4: Simplify right side
    653.52x = 282,396.80
  5. Step 5: Solve for x
    x = 282,396.80/653.52
  6. Step 6: Final answer
    x = 432.12

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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.