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Finding the Fourth Proportional to 1,654.87, 2,283.25 and 946.45

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Solution

The fourth proportional to 1,654.87, 2,283.25 and 946.45 is: 1,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.87 : 2,283.25 = 946.45 : x
  2. Step 2: Convert to fraction form
    1,654.87/2,283.25 = 946.45/x
  3. Step 3: Cross multiply
    1,654.87x = 2,283.25 × 946.45
  4. Step 4: Simplify right side
    1,654.87x = 2,160,981.96
  5. Step 5: Solve for x
    x = 2,160,981.96/1,654.87
  6. Step 6: Final answer
    x = 1,305.83

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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.