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Finding the Fourth Proportional to 1,304.59, 1,952.08 and 784.91

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Solution

The fourth proportional to 1,304.59, 1,952.08 and 784.91 is: 1,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.59 : 1,952.08 = 784.91 : x
  2. Step 2: Convert to fraction form
    1,304.59/1,952.08 = 784.91/x
  3. Step 3: Cross multiply
    1,304.59x = 1,952.08 × 784.91
  4. Step 4: Simplify right side
    1,304.59x = 1,532,195.39
  5. Step 5: Solve for x
    x = 1,532,195.39/1,304.59
  6. Step 6: Final answer
    x = 1,174.47

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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.