Home / 1,513.78-2,265.96-966.40

Finding the Fourth Proportional to 1,513.78, 2,265.96 and 966.40

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Solution

The fourth proportional to 1,513.78, 2,265.96 and 966.40 is: 1,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.78 : 2,265.96 = 966.40 : x
  2. Step 2: Convert to fraction form
    1,513.78/2,265.96 = 966.40/x
  3. Step 3: Cross multiply
    1,513.78x = 2,265.96 × 966.40
  4. Step 4: Simplify right side
    1,513.78x = 2,189,823.74
  5. Step 5: Solve for x
    x = 2,189,823.74/1,513.78
  6. Step 6: Final answer
    x = 1,446.59

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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.