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Finding the Fourth Proportional to 1,410.57, 2,113.53 and 485.63

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Solution

The fourth proportional to 1,410.57, 2,113.53 and 485.63 is: 727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.57 : 2,113.53 = 485.63 : x
  2. Step 2: Convert to fraction form
    1,410.57/2,113.53 = 485.63/x
  3. Step 3: Cross multiply
    1,410.57x = 2,113.53 × 485.63
  4. Step 4: Simplify right side
    1,410.57x = 1,026,383.01
  5. Step 5: Solve for x
    x = 1,026,383.01/1,410.57
  6. Step 6: Final answer
    x = 727.64

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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.