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Finding the Fourth Proportional to 1,654.67, 2,282.86 and 946.00

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Solution

The fourth proportional to 1,654.67, 2,282.86 and 946.00 is: 1,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.67 : 2,282.86 = 946.00 : x
  2. Step 2: Convert to fraction form
    1,654.67/2,282.86 = 946.00/x
  3. Step 3: Cross multiply
    1,654.67x = 2,282.86 × 946.00
  4. Step 4: Simplify right side
    1,654.67x = 2,159,589.60
  5. Step 5: Solve for x
    x = 2,159,589.60/1,654.67
  6. Step 6: Final answer
    x = 1,305.15

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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.