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Finding the Fourth Proportional to 744.66, 1,110.96 and 709.83

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Solution

The fourth proportional to 744.66, 1,110.96 and 709.83 is: 1,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.66 : 1,110.96 = 709.83 : x
  2. Step 2: Convert to fraction form
    744.66/1,110.96 = 709.83/x
  3. Step 3: Cross multiply
    744.66x = 1,110.96 × 709.83
  4. Step 4: Simplify right side
    744.66x = 788,592.74
  5. Step 5: Solve for x
    x = 788,592.74/744.66
  6. Step 6: Final answer
    x = 1,059.00

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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.