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Finding the Fourth Proportional to 1,146.88, 1,720.80 and 513.32

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Solution

The fourth proportional to 1,146.88, 1,720.80 and 513.32 is: 770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.88 : 1,720.80 = 513.32 : x
  2. Step 2: Convert to fraction form
    1,146.88/1,720.80 = 513.32/x
  3. Step 3: Cross multiply
    1,146.88x = 1,720.80 × 513.32
  4. Step 4: Simplify right side
    1,146.88x = 883,321.06
  5. Step 5: Solve for x
    x = 883,321.06/1,146.88
  6. Step 6: Final answer
    x = 770.19

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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.