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Finding the Fourth Proportional to 1,658.56, 2,304.16 and 1,643.36

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Solution

The fourth proportional to 1,658.56, 2,304.16 and 1,643.36 is: 2,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.56 : 2,304.16 = 1,643.36 : x
  2. Step 2: Convert to fraction form
    1,658.56/2,304.16 = 1,643.36/x
  3. Step 3: Cross multiply
    1,658.56x = 2,304.16 × 1,643.36
  4. Step 4: Simplify right side
    1,658.56x = 3,786,564.38
  5. Step 5: Solve for x
    x = 3,786,564.38/1,658.56
  6. Step 6: Final answer
    x = 2,283.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.