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Finding the Fourth Proportional to 1,283.91, 1,924.17 and 699.15

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Solution

The fourth proportional to 1,283.91, 1,924.17 and 699.15 is: 1,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.91 : 1,924.17 = 699.15 : x
  2. Step 2: Convert to fraction form
    1,283.91/1,924.17 = 699.15/x
  3. Step 3: Cross multiply
    1,283.91x = 1,924.17 × 699.15
  4. Step 4: Simplify right side
    1,283.91x = 1,345,283.46
  5. Step 5: Solve for x
    x = 1,345,283.46/1,283.91
  6. Step 6: Final answer
    x = 1,047.80

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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.