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Finding the Fourth Proportional to 1,952.47, 2,928.69 and 491.64

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Solution

The fourth proportional to 1,952.47, 2,928.69 and 491.64 is: 737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.47 : 2,928.69 = 491.64 : x
  2. Step 2: Convert to fraction form
    1,952.47/2,928.69 = 491.64/x
  3. Step 3: Cross multiply
    1,952.47x = 2,928.69 × 491.64
  4. Step 4: Simplify right side
    1,952.47x = 1,439,850.17
  5. Step 5: Solve for x
    x = 1,439,850.17/1,952.47
  6. Step 6: Final answer
    x = 737.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.