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Finding the Fourth Proportional to 786.94, 1,086.28 and 525.71

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Solution

The fourth proportional to 786.94, 1,086.28 and 525.71 is: 725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.94 : 1,086.28 = 525.71 : x
  2. Step 2: Convert to fraction form
    786.94/1,086.28 = 525.71/x
  3. Step 3: Cross multiply
    786.94x = 1,086.28 × 525.71
  4. Step 4: Simplify right side
    786.94x = 571,069.66
  5. Step 5: Solve for x
    x = 571,069.66/786.94
  6. Step 6: Final answer
    x = 725.69

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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.