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Finding the Fourth Proportional to 1,305.62, 1,955.51 and 1,011.11

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Solution

The fourth proportional to 1,305.62, 1,955.51 and 1,011.11 is: 1,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.62 : 1,955.51 = 1,011.11 : x
  2. Step 2: Convert to fraction form
    1,305.62/1,955.51 = 1,011.11/x
  3. Step 3: Cross multiply
    1,305.62x = 1,955.51 × 1,011.11
  4. Step 4: Simplify right side
    1,305.62x = 1,977,235.72
  5. Step 5: Solve for x
    x = 1,977,235.72/1,305.62
  6. Step 6: Final answer
    x = 1,514.40

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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.