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Finding the Fourth Proportional to 935.09, 1,289.05 and 654.46

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Solution

The fourth proportional to 935.09, 1,289.05 and 654.46 is: 902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.09 : 1,289.05 = 654.46 : x
  2. Step 2: Convert to fraction form
    935.09/1,289.05 = 654.46/x
  3. Step 3: Cross multiply
    935.09x = 1,289.05 × 654.46
  4. Step 4: Simplify right side
    935.09x = 843,631.66
  5. Step 5: Solve for x
    x = 843,631.66/935.09
  6. Step 6: Final answer
    x = 902.19

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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.