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Finding the Fourth Proportional to 661.77, 988.20 and 540.27

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Solution

The fourth proportional to 661.77, 988.20 and 540.27 is: 806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 988.20 = 540.27 : x
  2. Step 2: Convert to fraction form
    661.77/988.20 = 540.27/x
  3. Step 3: Cross multiply
    661.77x = 988.20 × 540.27
  4. Step 4: Simplify right side
    661.77x = 533,894.81
  5. Step 5: Solve for x
    x = 533,894.81/661.77
  6. Step 6: Final answer
    x = 806.77

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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.