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Finding the Fourth Proportional to 1,109.66, 1,664.78 and 460.85

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Solution

The fourth proportional to 1,109.66, 1,664.78 and 460.85 is: 691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.66 : 1,664.78 = 460.85 : x
  2. Step 2: Convert to fraction form
    1,109.66/1,664.78 = 460.85/x
  3. Step 3: Cross multiply
    1,109.66x = 1,664.78 × 460.85
  4. Step 4: Simplify right side
    1,109.66x = 767,203.23
  5. Step 5: Solve for x
    x = 767,203.23/1,109.66
  6. Step 6: Final answer
    x = 691.39

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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.