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Finding the Fourth Proportional to 654.36, 985.65 and 553.92

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Solution

The fourth proportional to 654.36, 985.65 and 553.92 is: 834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.36 : 985.65 = 553.92 : x
  2. Step 2: Convert to fraction form
    654.36/985.65 = 553.92/x
  3. Step 3: Cross multiply
    654.36x = 985.65 × 553.92
  4. Step 4: Simplify right side
    654.36x = 545,971.25
  5. Step 5: Solve for x
    x = 545,971.25/654.36
  6. Step 6: Final answer
    x = 834.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.