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Finding the Fourth Proportional to 1,261.02, 1,891.35 and 520.12

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Solution

The fourth proportional to 1,261.02, 1,891.35 and 520.12 is: 780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.02 : 1,891.35 = 520.12 : x
  2. Step 2: Convert to fraction form
    1,261.02/1,891.35 = 520.12/x
  3. Step 3: Cross multiply
    1,261.02x = 1,891.35 × 520.12
  4. Step 4: Simplify right side
    1,261.02x = 983,731.33
  5. Step 5: Solve for x
    x = 983,731.33/1,261.02
  6. Step 6: Final answer
    x = 780.11

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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.