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Finding the Fourth Proportional to 1,655.15, 2,483.10 and 485.12

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Solution

The fourth proportional to 1,655.15, 2,483.10 and 485.12 is: 727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.15 : 2,483.10 = 485.12 : x
  2. Step 2: Convert to fraction form
    1,655.15/2,483.10 = 485.12/x
  3. Step 3: Cross multiply
    1,655.15x = 2,483.10 × 485.12
  4. Step 4: Simplify right side
    1,655.15x = 1,204,599.05
  5. Step 5: Solve for x
    x = 1,204,599.05/1,655.15
  6. Step 6: Final answer
    x = 727.79

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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.