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Finding the Fourth Proportional to 1,304.56, 1,955.76 and 656.02

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Solution

The fourth proportional to 1,304.56, 1,955.76 and 656.02 is: 983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.56 : 1,955.76 = 656.02 : x
  2. Step 2: Convert to fraction form
    1,304.56/1,955.76 = 656.02/x
  3. Step 3: Cross multiply
    1,304.56x = 1,955.76 × 656.02
  4. Step 4: Simplify right side
    1,304.56x = 1,283,017.68
  5. Step 5: Solve for x
    x = 1,283,017.68/1,304.56
  6. Step 6: Final answer
    x = 983.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.