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Finding the Fourth Proportional to 1,217.63, 1,825.47 and 487.01

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Solution

The fourth proportional to 1,217.63, 1,825.47 and 487.01 is: 730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.63 : 1,825.47 = 487.01 : x
  2. Step 2: Convert to fraction form
    1,217.63/1,825.47 = 487.01/x
  3. Step 3: Cross multiply
    1,217.63x = 1,825.47 × 487.01
  4. Step 4: Simplify right side
    1,217.63x = 889,013.02
  5. Step 5: Solve for x
    x = 889,013.02/1,217.63
  6. Step 6: Final answer
    x = 730.12

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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.