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Finding the Fourth Proportional to 1,110.62, 1,672.34 and 917.48

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Solution

The fourth proportional to 1,110.62, 1,672.34 and 917.48 is: 1,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.62 : 1,672.34 = 917.48 : x
  2. Step 2: Convert to fraction form
    1,110.62/1,672.34 = 917.48/x
  3. Step 3: Cross multiply
    1,110.62x = 1,672.34 × 917.48
  4. Step 4: Simplify right side
    1,110.62x = 1,534,338.50
  5. Step 5: Solve for x
    x = 1,534,338.50/1,110.62
  6. Step 6: Final answer
    x = 1,381.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.