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Finding the Fourth Proportional to 1,111.42, 1,533.90 and 645.66

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Solution

The fourth proportional to 1,111.42, 1,533.90 and 645.66 is: 891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.42 : 1,533.90 = 645.66 : x
  2. Step 2: Convert to fraction form
    1,111.42/1,533.90 = 645.66/x
  3. Step 3: Cross multiply
    1,111.42x = 1,533.90 × 645.66
  4. Step 4: Simplify right side
    1,111.42x = 990,377.87
  5. Step 5: Solve for x
    x = 990,377.87/1,111.42
  6. Step 6: Final answer
    x = 891.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.