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Finding the Fourth Proportional to 985.54, 1,360.62 and 654.42

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Solution

The fourth proportional to 985.54, 1,360.62 and 654.42 is: 903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.54 : 1,360.62 = 654.42 : x
  2. Step 2: Convert to fraction form
    985.54/1,360.62 = 654.42/x
  3. Step 3: Cross multiply
    985.54x = 1,360.62 × 654.42
  4. Step 4: Simplify right side
    985.54x = 890,416.94
  5. Step 5: Solve for x
    x = 890,416.94/985.54
  6. Step 6: Final answer
    x = 903.48

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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.