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Finding the Fourth Proportional to 947.60, 1,428.56 and 811.76

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Solution

The fourth proportional to 947.60, 1,428.56 and 811.76 is: 1,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.60 : 1,428.56 = 811.76 : x
  2. Step 2: Convert to fraction form
    947.60/1,428.56 = 811.76/x
  3. Step 3: Cross multiply
    947.60x = 1,428.56 × 811.76
  4. Step 4: Simplify right side
    947.60x = 1,159,647.87
  5. Step 5: Solve for x
    x = 1,159,647.87/947.60
  6. Step 6: Final answer
    x = 1,223.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.