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Finding the Fourth Proportional to 786.70, 1,086.39 and 524.86

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Solution

The fourth proportional to 786.70, 1,086.39 and 524.86 is: 724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.70 : 1,086.39 = 524.86 : x
  2. Step 2: Convert to fraction form
    786.70/1,086.39 = 524.86/x
  3. Step 3: Cross multiply
    786.70x = 1,086.39 × 524.86
  4. Step 4: Simplify right side
    786.70x = 570,202.66
  5. Step 5: Solve for x
    x = 570,202.66/786.70
  6. Step 6: Final answer
    x = 724.80

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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.