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Finding the Fourth Proportional to 653.14, 978.79 and 469.67

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Solution

The fourth proportional to 653.14, 978.79 and 469.67 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.14 : 978.79 = 469.67 : x
  2. Step 2: Convert to fraction form
    653.14/978.79 = 469.67/x
  3. Step 3: Cross multiply
    653.14x = 978.79 × 469.67
  4. Step 4: Simplify right side
    653.14x = 459,708.30
  5. Step 5: Solve for x
    x = 459,708.30/653.14
  6. Step 6: Final answer
    x = 703.84

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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.