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Finding the Fourth Proportional to 786.42, 1,085.79 and 524.82

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Solution

The fourth proportional to 786.42, 1,085.79 and 524.82 is: 724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.42 : 1,085.79 = 524.82 : x
  2. Step 2: Convert to fraction form
    786.42/1,085.79 = 524.82/x
  3. Step 3: Cross multiply
    786.42x = 1,085.79 × 524.82
  4. Step 4: Simplify right side
    786.42x = 569,844.31
  5. Step 5: Solve for x
    x = 569,844.31/786.42
  6. Step 6: Final answer
    x = 724.61

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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.