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Finding the Fourth Proportional to 1,114.08, 1,670.31 and 644.89

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Solution

The fourth proportional to 1,114.08, 1,670.31 and 644.89 is: 966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.08 : 1,670.31 = 644.89 : x
  2. Step 2: Convert to fraction form
    1,114.08/1,670.31 = 644.89/x
  3. Step 3: Cross multiply
    1,114.08x = 1,670.31 × 644.89
  4. Step 4: Simplify right side
    1,114.08x = 1,077,166.22
  5. Step 5: Solve for x
    x = 1,077,166.22/1,114.08
  6. Step 6: Final answer
    x = 966.87

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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.