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Finding the Fourth Proportional to 1,681.52, 2,320.44 and 935.48

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Solution

The fourth proportional to 1,681.52, 2,320.44 and 935.48 is: 1,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.52 : 2,320.44 = 935.48 : x
  2. Step 2: Convert to fraction form
    1,681.52/2,320.44 = 935.48/x
  3. Step 3: Cross multiply
    1,681.52x = 2,320.44 × 935.48
  4. Step 4: Simplify right side
    1,681.52x = 2,170,725.21
  5. Step 5: Solve for x
    x = 2,170,725.21/1,681.52
  6. Step 6: Final answer
    x = 1,290.93

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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.