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Finding the Fourth Proportional to 918.47, 1,269.26 and 682.76

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Solution

The fourth proportional to 918.47, 1,269.26 and 682.76 is: 943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.47 : 1,269.26 = 682.76 : x
  2. Step 2: Convert to fraction form
    918.47/1,269.26 = 682.76/x
  3. Step 3: Cross multiply
    918.47x = 1,269.26 × 682.76
  4. Step 4: Simplify right side
    918.47x = 866,599.96
  5. Step 5: Solve for x
    x = 866,599.96/918.47
  6. Step 6: Final answer
    x = 943.53

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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.