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Finding the Fourth Proportional to 810.76, 1,207.75 and 786.56

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Solution

The fourth proportional to 810.76, 1,207.75 and 786.56 is: 1,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.76 : 1,207.75 = 786.56 : x
  2. Step 2: Convert to fraction form
    810.76/1,207.75 = 786.56/x
  3. Step 3: Cross multiply
    810.76x = 1,207.75 × 786.56
  4. Step 4: Simplify right side
    810.76x = 949,967.84
  5. Step 5: Solve for x
    x = 949,967.84/810.76
  6. Step 6: Final answer
    x = 1,171.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.