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Finding the Fourth Proportional to 477.91, 659.72 and 404.61

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Solution

The fourth proportional to 477.91, 659.72 and 404.61 is: 558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.91 : 659.72 = 404.61 : x
  2. Step 2: Convert to fraction form
    477.91/659.72 = 404.61/x
  3. Step 3: Cross multiply
    477.91x = 659.72 × 404.61
  4. Step 4: Simplify right side
    477.91x = 266,929.31
  5. Step 5: Solve for x
    x = 266,929.31/477.91
  6. Step 6: Final answer
    x = 558.53

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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.