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Finding the Fourth Proportional to 1,300.42, 1,951.41 and 520.81

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Solution

The fourth proportional to 1,300.42, 1,951.41 and 520.81 is: 781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.42 : 1,951.41 = 520.81 : x
  2. Step 2: Convert to fraction form
    1,300.42/1,951.41 = 520.81/x
  3. Step 3: Cross multiply
    1,300.42x = 1,951.41 × 520.81
  4. Step 4: Simplify right side
    1,300.42x = 1,016,313.84
  5. Step 5: Solve for x
    x = 1,016,313.84/1,300.42
  6. Step 6: Final answer
    x = 781.53

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