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Finding the Fourth Proportional to 1,654.34, 2,283.02 and 946.25

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Solution

The fourth proportional to 1,654.34, 2,283.02 and 946.25 is: 1,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.34 : 2,283.02 = 946.25 : x
  2. Step 2: Convert to fraction form
    1,654.34/2,283.02 = 946.25/x
  3. Step 3: Cross multiply
    1,654.34x = 2,283.02 × 946.25
  4. Step 4: Simplify right side
    1,654.34x = 2,160,308.96
  5. Step 5: Solve for x
    x = 2,160,308.96/1,654.34
  6. Step 6: Final answer
    x = 1,305.84

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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.