Home / 1,654.31-2,282.88-946.11

Finding the Fourth Proportional to 1,654.31, 2,282.88 and 946.11

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Solution

The fourth proportional to 1,654.31, 2,282.88 and 946.11 is: 1,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.31 : 2,282.88 = 946.11 : x
  2. Step 2: Convert to fraction form
    1,654.31/2,282.88 = 946.11/x
  3. Step 3: Cross multiply
    1,654.31x = 2,282.88 × 946.11
  4. Step 4: Simplify right side
    1,654.31x = 2,159,855.60
  5. Step 5: Solve for x
    x = 2,159,855.60/1,654.31
  6. Step 6: Final answer
    x = 1,305.60

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1.5x scale

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.