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Finding the Fourth Proportional to 1,085.42, 1,628.30 and 469.08

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Solution

The fourth proportional to 1,085.42, 1,628.30 and 469.08 is: 703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.42 : 1,628.30 = 469.08 : x
  2. Step 2: Convert to fraction form
    1,085.42/1,628.30 = 469.08/x
  3. Step 3: Cross multiply
    1,085.42x = 1,628.30 × 469.08
  4. Step 4: Simplify right side
    1,085.42x = 763,804.14
  5. Step 5: Solve for x
    x = 763,804.14/1,085.42
  6. Step 6: Final answer
    x = 703.69

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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.