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Finding the Fourth Proportional to 1,009.11, 1,512.30 and 461.01

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Solution

The fourth proportional to 1,009.11, 1,512.30 and 461.01 is: 690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.11 : 1,512.30 = 461.01 : x
  2. Step 2: Convert to fraction form
    1,009.11/1,512.30 = 461.01/x
  3. Step 3: Cross multiply
    1,009.11x = 1,512.30 × 461.01
  4. Step 4: Simplify right side
    1,009.11x = 697,185.42
  5. Step 5: Solve for x
    x = 697,185.42/1,009.11
  6. Step 6: Final answer
    x = 690.89

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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.