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Finding the Fourth Proportional to 744.84, 1,110.66 and 694.58

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Solution

The fourth proportional to 744.84, 1,110.66 and 694.58 is: 1,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.84 : 1,110.66 = 694.58 : x
  2. Step 2: Convert to fraction form
    744.84/1,110.66 = 694.58/x
  3. Step 3: Cross multiply
    744.84x = 1,110.66 × 694.58
  4. Step 4: Simplify right side
    744.84x = 771,442.22
  5. Step 5: Solve for x
    x = 771,442.22/744.84
  6. Step 6: Final answer
    x = 1,035.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.