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Finding the Fourth Proportional to 606.76, 905.04 and 588.54

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Solution

The fourth proportional to 606.76, 905.04 and 588.54 is: 877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.76 : 905.04 = 588.54 : x
  2. Step 2: Convert to fraction form
    606.76/905.04 = 588.54/x
  3. Step 3: Cross multiply
    606.76x = 905.04 × 588.54
  4. Step 4: Simplify right side
    606.76x = 532,649.30
  5. Step 5: Solve for x
    x = 532,649.30/606.76
  6. Step 6: Final answer
    x = 877.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.