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Finding the Fourth Proportional to 477.56, 659.40 and 346.88

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Solution

The fourth proportional to 477.56, 659.40 and 346.88 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.56 : 659.40 = 346.88 : x
  2. Step 2: Convert to fraction form
    477.56/659.40 = 346.88/x
  3. Step 3: Cross multiply
    477.56x = 659.40 × 346.88
  4. Step 4: Simplify right side
    477.56x = 228,732.67
  5. Step 5: Solve for x
    x = 228,732.67/477.56
  6. Step 6: Final answer
    x = 478.96

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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.