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Finding the Fourth Proportional to 661.36, 918.42 and 654.96

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Solution

The fourth proportional to 661.36, 918.42 and 654.96 is: 909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.36 : 918.42 = 654.96 : x
  2. Step 2: Convert to fraction form
    661.36/918.42 = 654.96/x
  3. Step 3: Cross multiply
    661.36x = 918.42 × 654.96
  4. Step 4: Simplify right side
    661.36x = 601,528.36
  5. Step 5: Solve for x
    x = 601,528.36/661.36
  6. Step 6: Final answer
    x = 909.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.