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Finding the Fourth Proportional to 478.86, 659.07 and 406.14

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Solution

The fourth proportional to 478.86, 659.07 and 406.14 is: 558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.86 : 659.07 = 406.14 : x
  2. Step 2: Convert to fraction form
    478.86/659.07 = 406.14/x
  3. Step 3: Cross multiply
    478.86x = 659.07 × 406.14
  4. Step 4: Simplify right side
    478.86x = 267,674.69
  5. Step 5: Solve for x
    x = 267,674.69/478.86
  6. Step 6: Final answer
    x = 558.98

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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.