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Finding the Fourth Proportional to 913.33, 1,371.64 and 840.08

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Solution

The fourth proportional to 913.33, 1,371.64 and 840.08 is: 1,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.33 : 1,371.64 = 840.08 : x
  2. Step 2: Convert to fraction form
    913.33/1,371.64 = 840.08/x
  3. Step 3: Cross multiply
    913.33x = 1,371.64 × 840.08
  4. Step 4: Simplify right side
    913.33x = 1,152,278.37
  5. Step 5: Solve for x
    x = 1,152,278.37/913.33
  6. Step 6: Final answer
    x = 1,261.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.