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Finding the Fourth Proportional to 985.83, 1,361.13 and 654.94

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Solution

The fourth proportional to 985.83, 1,361.13 and 654.94 is: 904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.83 : 1,361.13 = 654.94 : x
  2. Step 2: Convert to fraction form
    985.83/1,361.13 = 654.94/x
  3. Step 3: Cross multiply
    985.83x = 1,361.13 × 654.94
  4. Step 4: Simplify right side
    985.83x = 891,458.48
  5. Step 5: Solve for x
    x = 891,458.48/985.83
  6. Step 6: Final answer
    x = 904.27

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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.