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Finding the Fourth Proportional to 1,029.01, 1,546.40 and 612.60

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Solution

The fourth proportional to 1,029.01, 1,546.40 and 612.60 is: 920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.01 : 1,546.40 = 612.60 : x
  2. Step 2: Convert to fraction form
    1,029.01/1,546.40 = 612.60/x
  3. Step 3: Cross multiply
    1,029.01x = 1,546.40 × 612.60
  4. Step 4: Simplify right side
    1,029.01x = 947,324.64
  5. Step 5: Solve for x
    x = 947,324.64/1,029.01
  6. Step 6: Final answer
    x = 920.62

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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.