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Finding the Fourth Proportional to 786.42, 1,180.68 and 509.16

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Solution

The fourth proportional to 786.42, 1,180.68 and 509.16 is: 764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.42 : 1,180.68 = 509.16 : x
  2. Step 2: Convert to fraction form
    786.42/1,180.68 = 509.16/x
  3. Step 3: Cross multiply
    786.42x = 1,180.68 × 509.16
  4. Step 4: Simplify right side
    786.42x = 601,155.03
  5. Step 5: Solve for x
    x = 601,155.03/786.42
  6. Step 6: Final answer
    x = 764.42

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.