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Finding the Fourth Proportional to 1,201.14, 1,800.47 and 460.55

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Solution

The fourth proportional to 1,201.14, 1,800.47 and 460.55 is: 690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.14 : 1,800.47 = 460.55 : x
  2. Step 2: Convert to fraction form
    1,201.14/1,800.47 = 460.55/x
  3. Step 3: Cross multiply
    1,201.14x = 1,800.47 × 460.55
  4. Step 4: Simplify right side
    1,201.14x = 829,203.11
  5. Step 5: Solve for x
    x = 829,203.11/1,201.14
  6. Step 6: Final answer
    x = 690.35

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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.