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Finding the Fourth Proportional to 1,009.20, 1,512.98 and 461.64

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Solution

The fourth proportional to 1,009.20, 1,512.98 and 461.64 is: 692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.20 : 1,512.98 = 461.64 : x
  2. Step 2: Convert to fraction form
    1,009.20/1,512.98 = 461.64/x
  3. Step 3: Cross multiply
    1,009.20x = 1,512.98 × 461.64
  4. Step 4: Simplify right side
    1,009.20x = 698,452.09
  5. Step 5: Solve for x
    x = 698,452.09/1,009.20
  6. Step 6: Final answer
    x = 692.08

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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.