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Finding the Fourth Proportional to 477.83, 659.50 and 278.79

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Solution

The fourth proportional to 477.83, 659.50 and 278.79 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.83 : 659.50 = 278.79 : x
  2. Step 2: Convert to fraction form
    477.83/659.50 = 278.79/x
  3. Step 3: Cross multiply
    477.83x = 659.50 × 278.79
  4. Step 4: Simplify right side
    477.83x = 183,861.31
  5. Step 5: Solve for x
    x = 183,861.31/477.83
  6. Step 6: Final answer
    x = 384.78

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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.