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Finding the Fourth Proportional to 1,203.37, 1,808.10 and 1,154.77

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Solution

The fourth proportional to 1,203.37, 1,808.10 and 1,154.77 is: 1,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.37 : 1,808.10 = 1,154.77 : x
  2. Step 2: Convert to fraction form
    1,203.37/1,808.10 = 1,154.77/x
  3. Step 3: Cross multiply
    1,203.37x = 1,808.10 × 1,154.77
  4. Step 4: Simplify right side
    1,203.37x = 2,087,935.12
  5. Step 5: Solve for x
    x = 2,087,935.12/1,203.37
  6. Step 6: Final answer
    x = 1,735.08

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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.