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Finding the Fourth Proportional to 1,113.89, 1,670.83 and 654.86

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Solution

The fourth proportional to 1,113.89, 1,670.83 and 654.86 is: 982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.89 : 1,670.83 = 654.86 : x
  2. Step 2: Convert to fraction form
    1,113.89/1,670.83 = 654.86/x
  3. Step 3: Cross multiply
    1,113.89x = 1,670.83 × 654.86
  4. Step 4: Simplify right side
    1,113.89x = 1,094,162.27
  5. Step 5: Solve for x
    x = 1,094,162.27/1,113.89
  6. Step 6: Final answer
    x = 982.29

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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.