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Finding the Fourth Proportional to 913.35, 1,362.50 and 844.50

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Solution

The fourth proportional to 913.35, 1,362.50 and 844.50 is: 1,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.35 : 1,362.50 = 844.50 : x
  2. Step 2: Convert to fraction form
    913.35/1,362.50 = 844.50/x
  3. Step 3: Cross multiply
    913.35x = 1,362.50 × 844.50
  4. Step 4: Simplify right side
    913.35x = 1,150,633.36
  5. Step 5: Solve for x
    x = 1,150,633.36/913.35
  6. Step 6: Final answer
    x = 1,259.79

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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.