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Finding the Fourth Proportional to 913.80, 1,282.20 and 913.80

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Solution

The fourth proportional to 913.80, 1,282.20 and 913.80 is: 1,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.80 : 1,282.20 = 913.80 : x
  2. Step 2: Convert to fraction form
    913.80/1,282.20 = 913.80/x
  3. Step 3: Cross multiply
    913.80x = 1,282.20 × 913.80
  4. Step 4: Simplify right side
    913.80x = 1,171,674.36
  5. Step 5: Solve for x
    x = 1,171,674.36/913.80
  6. Step 6: Final answer
    x = 1,282.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.