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Finding the Fourth Proportional to 477.24, 659.40 and 379.86

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Solution

The fourth proportional to 477.24, 659.40 and 379.86 is: 524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 659.40 = 379.86 : x
  2. Step 2: Convert to fraction form
    477.24/659.40 = 379.86/x
  3. Step 3: Cross multiply
    477.24x = 659.40 × 379.86
  4. Step 4: Simplify right side
    477.24x = 250,479.68
  5. Step 5: Solve for x
    x = 250,479.68/477.24
  6. Step 6: Final answer
    x = 524.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.