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Finding the Fourth Proportional to 784, 1,079.94 and 587.26

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Solution

The fourth proportional to 784, 1,079.94 and 587.26 is: 808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 1,079.94 = 587.26 : x
  2. Step 2: Convert to fraction form
    784/1,079.94 = 587.26/x
  3. Step 3: Cross multiply
    784x = 1,079.94 × 587.26
  4. Step 4: Simplify right side
    784x = 634,205.56
  5. Step 5: Solve for x
    x = 634,205.56/784
  6. Step 6: Final answer
    x = 808.94

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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.