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Finding the Fourth Proportional to 606.64, 903.91 and 580.97

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Solution

The fourth proportional to 606.64, 903.91 and 580.97 is: 865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.64 : 903.91 = 580.97 : x
  2. Step 2: Convert to fraction form
    606.64/903.91 = 580.97/x
  3. Step 3: Cross multiply
    606.64x = 903.91 × 580.97
  4. Step 4: Simplify right side
    606.64x = 525,146.49
  5. Step 5: Solve for x
    x = 525,146.49/606.64
  6. Step 6: Final answer
    x = 865.67

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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.