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Finding the Fourth Proportional to 654.89, 903.96 and 580.77

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Solution

The fourth proportional to 654.89, 903.96 and 580.77 is: 801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.89 : 903.96 = 580.77 : x
  2. Step 2: Convert to fraction form
    654.89/903.96 = 580.77/x
  3. Step 3: Cross multiply
    654.89x = 903.96 × 580.77
  4. Step 4: Simplify right side
    654.89x = 524,992.85
  5. Step 5: Solve for x
    x = 524,992.85/654.89
  6. Step 6: Final answer
    x = 801.66

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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.