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Finding the Fourth Proportional to 1,972.79, 2,959.04 and 511.89

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Solution

The fourth proportional to 1,972.79, 2,959.04 and 511.89 is: 767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.79 : 2,959.04 = 511.89 : x
  2. Step 2: Convert to fraction form
    1,972.79/2,959.04 = 511.89/x
  3. Step 3: Cross multiply
    1,972.79x = 2,959.04 × 511.89
  4. Step 4: Simplify right side
    1,972.79x = 1,514,700.43
  5. Step 5: Solve for x
    x = 1,514,700.43/1,972.79
  6. Step 6: Final answer
    x = 767.80

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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.