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Finding the Fourth Proportional to 653.77, 979.86 and 288.16

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Solution

The fourth proportional to 653.77, 979.86 and 288.16 is: 431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.77 : 979.86 = 288.16 : x
  2. Step 2: Convert to fraction form
    653.77/979.86 = 288.16/x
  3. Step 3: Cross multiply
    653.77x = 979.86 × 288.16
  4. Step 4: Simplify right side
    653.77x = 282,355.09
  5. Step 5: Solve for x
    x = 282,355.09/653.77
  6. Step 6: Final answer
    x = 431.89

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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.