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Finding the Fourth Proportional to 1,085.67, 1,628.20 and 305.61

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Solution

The fourth proportional to 1,085.67, 1,628.20 and 305.61 is: 458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.67 : 1,628.20 = 305.61 : x
  2. Step 2: Convert to fraction form
    1,085.67/1,628.20 = 305.61/x
  3. Step 3: Cross multiply
    1,085.67x = 1,628.20 × 305.61
  4. Step 4: Simplify right side
    1,085.67x = 497,588.48
  5. Step 5: Solve for x
    x = 497,588.48/1,085.67
  6. Step 6: Final answer
    x = 458.32

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1.5x scale

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.