Home / 1,193.36-1,646.58-913.90

Finding the Fourth Proportional to 1,193.36, 1,646.58 and 913.90

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Solution

The fourth proportional to 1,193.36, 1,646.58 and 913.90 is: 1,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.36 : 1,646.58 = 913.90 : x
  2. Step 2: Convert to fraction form
    1,193.36/1,646.58 = 913.90/x
  3. Step 3: Cross multiply
    1,193.36x = 1,646.58 × 913.90
  4. Step 4: Simplify right side
    1,193.36x = 1,504,809.46
  5. Step 5: Solve for x
    x = 1,504,809.46/1,193.36
  6. Step 6: Final answer
    x = 1,260.99

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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.