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Finding the Fourth Proportional to 1,125.06, 1,687.60 and 303.46

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Solution

The fourth proportional to 1,125.06, 1,687.60 and 303.46 is: 455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.06 : 1,687.60 = 303.46 : x
  2. Step 2: Convert to fraction form
    1,125.06/1,687.60 = 303.46/x
  3. Step 3: Cross multiply
    1,125.06x = 1,687.60 × 303.46
  4. Step 4: Simplify right side
    1,125.06x = 512,119.10
  5. Step 5: Solve for x
    x = 512,119.10/1,125.06
  6. Step 6: Final answer
    x = 455.19

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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.