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Finding the Fourth Proportional to 1,109.34, 1,664.04 and 460.12

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Solution

The fourth proportional to 1,109.34, 1,664.04 and 460.12 is: 690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.34 : 1,664.04 = 460.12 : x
  2. Step 2: Convert to fraction form
    1,109.34/1,664.04 = 460.12/x
  3. Step 3: Cross multiply
    1,109.34x = 1,664.04 × 460.12
  4. Step 4: Simplify right side
    1,109.34x = 765,658.08
  5. Step 5: Solve for x
    x = 765,658.08/1,109.34
  6. Step 6: Final answer
    x = 690.19

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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.