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Finding the Fourth Proportional to 1,347.63, 1,859.79 and 823.69

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Solution

The fourth proportional to 1,347.63, 1,859.79 and 823.69 is: 1,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.63 : 1,859.79 = 823.69 : x
  2. Step 2: Convert to fraction form
    1,347.63/1,859.79 = 823.69/x
  3. Step 3: Cross multiply
    1,347.63x = 1,859.79 × 823.69
  4. Step 4: Simplify right side
    1,347.63x = 1,531,890.43
  5. Step 5: Solve for x
    x = 1,531,890.43/1,347.63
  6. Step 6: Final answer
    x = 1,136.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.