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Finding the Fourth Proportional to 653.46, 979.31 and 393.14

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Solution

The fourth proportional to 653.46, 979.31 and 393.14 is: 589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.46 : 979.31 = 393.14 : x
  2. Step 2: Convert to fraction form
    653.46/979.31 = 393.14/x
  3. Step 3: Cross multiply
    653.46x = 979.31 × 393.14
  4. Step 4: Simplify right side
    653.46x = 385,005.93
  5. Step 5: Solve for x
    x = 385,005.93/653.46
  6. Step 6: Final answer
    x = 589.18

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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.