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Finding the Fourth Proportional to 1,551.43, 2,325.80 and 511.15

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Solution

The fourth proportional to 1,551.43, 2,325.80 and 511.15 is: 766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.43 : 2,325.80 = 511.15 : x
  2. Step 2: Convert to fraction form
    1,551.43/2,325.80 = 511.15/x
  3. Step 3: Cross multiply
    1,551.43x = 2,325.80 × 511.15
  4. Step 4: Simplify right side
    1,551.43x = 1,188,832.67
  5. Step 5: Solve for x
    x = 1,188,832.67/1,551.43
  6. Step 6: Final answer
    x = 766.28

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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.