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Finding the Fourth Proportional to 1,509.90, 2,264.82 and 1,146.90

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Solution

The fourth proportional to 1,509.90, 2,264.82 and 1,146.90 is: 1,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.90 : 2,264.82 = 1,146.90 : x
  2. Step 2: Convert to fraction form
    1,509.90/2,264.82 = 1,146.90/x
  3. Step 3: Cross multiply
    1,509.90x = 2,264.82 × 1,146.90
  4. Step 4: Simplify right side
    1,509.90x = 2,597,522.06
  5. Step 5: Solve for x
    x = 2,597,522.06/1,509.90
  6. Step 6: Final answer
    x = 1,720.33

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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.