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Finding the Fourth Proportional to 1,410.03, 2,115.20 and 485.48

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Solution

The fourth proportional to 1,410.03, 2,115.20 and 485.48 is: 728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.03 : 2,115.20 = 485.48 : x
  2. Step 2: Convert to fraction form
    1,410.03/2,115.20 = 485.48/x
  3. Step 3: Cross multiply
    1,410.03x = 2,115.20 × 485.48
  4. Step 4: Simplify right side
    1,410.03x = 1,026,890.14
  5. Step 5: Solve for x
    x = 1,026,890.14/1,410.03
  6. Step 6: Final answer
    x = 728.27

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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.