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Finding the Fourth Proportional to 780.92, 1,171.29 and 651.74

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Solution

The fourth proportional to 780.92, 1,171.29 and 651.74 is: 977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.92 : 1,171.29 = 651.74 : x
  2. Step 2: Convert to fraction form
    780.92/1,171.29 = 651.74/x
  3. Step 3: Cross multiply
    780.92x = 1,171.29 × 651.74
  4. Step 4: Simplify right side
    780.92x = 763,376.54
  5. Step 5: Solve for x
    x = 763,376.54/780.92
  6. Step 6: Final answer
    x = 977.53

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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.