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Finding the Fourth Proportional to 1,085.40, 1,628.37 and 468.79

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Solution

The fourth proportional to 1,085.40, 1,628.37 and 468.79 is: 703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.40 : 1,628.37 = 468.79 : x
  2. Step 2: Convert to fraction form
    1,085.40/1,628.37 = 468.79/x
  3. Step 3: Cross multiply
    1,085.40x = 1,628.37 × 468.79
  4. Step 4: Simplify right side
    1,085.40x = 763,359.50
  5. Step 5: Solve for x
    x = 763,359.50/1,085.40
  6. Step 6: Final answer
    x = 703.30

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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.