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Finding the Fourth Proportional to 817.96, 1,127.76 and 686.68

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Solution

The fourth proportional to 817.96, 1,127.76 and 686.68 is: 946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.96 : 1,127.76 = 686.68 : x
  2. Step 2: Convert to fraction form
    817.96/1,127.76 = 686.68/x
  3. Step 3: Cross multiply
    817.96x = 1,127.76 × 686.68
  4. Step 4: Simplify right side
    817.96x = 774,410.24
  5. Step 5: Solve for x
    x = 774,410.24/817.96
  6. Step 6: Final answer
    x = 946.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.