Home / 1,654.99-2,283.64-946.72

Finding the Fourth Proportional to 1,654.99, 2,283.64 and 946.72

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Solution

The fourth proportional to 1,654.99, 2,283.64 and 946.72 is: 1,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.99 : 2,283.64 = 946.72 : x
  2. Step 2: Convert to fraction form
    1,654.99/2,283.64 = 946.72/x
  3. Step 3: Cross multiply
    1,654.99x = 2,283.64 × 946.72
  4. Step 4: Simplify right side
    1,654.99x = 2,161,960.66
  5. Step 5: Solve for x
    x = 2,161,960.66/1,654.99
  6. Step 6: Final answer
    x = 1,306.33

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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.