Home / 1,654.61-2,283.23-946.46

Finding the Fourth Proportional to 1,654.61, 2,283.23 and 946.46

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Solution

The fourth proportional to 1,654.61, 2,283.23 and 946.46 is: 1,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.61 : 2,283.23 = 946.46 : x
  2. Step 2: Convert to fraction form
    1,654.61/2,283.23 = 946.46/x
  3. Step 3: Cross multiply
    1,654.61x = 2,283.23 × 946.46
  4. Step 4: Simplify right side
    1,654.61x = 2,160,986.84
  5. Step 5: Solve for x
    x = 2,160,986.84/1,654.61
  6. Step 6: Final answer
    x = 1,306.04

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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.