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Finding the Fourth Proportional to 1,952.69, 2,929.01 and 782.99

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Solution

The fourth proportional to 1,952.69, 2,929.01 and 782.99 is: 1,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.69 : 2,929.01 = 782.99 : x
  2. Step 2: Convert to fraction form
    1,952.69/2,929.01 = 782.99/x
  3. Step 3: Cross multiply
    1,952.69x = 2,929.01 × 782.99
  4. Step 4: Simplify right side
    1,952.69x = 2,293,366.98
  5. Step 5: Solve for x
    x = 2,293,366.98/1,952.69
  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.