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Finding the Fourth Proportional to 786.25, 1,085.53 and 487.81

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Solution

The fourth proportional to 786.25, 1,085.53 and 487.81 is: 673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.25 : 1,085.53 = 487.81 : x
  2. Step 2: Convert to fraction form
    786.25/1,085.53 = 487.81/x
  3. Step 3: Cross multiply
    786.25x = 1,085.53 × 487.81
  4. Step 4: Simplify right side
    786.25x = 529,533.44
  5. Step 5: Solve for x
    x = 529,533.44/786.25
  6. Step 6: Final answer
    x = 673.50

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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.