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Finding the Fourth Proportional to 744.21, 1,116.24 and 583.83

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Solution

The fourth proportional to 744.21, 1,116.24 and 583.83 is: 875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.21 : 1,116.24 = 583.83 : x
  2. Step 2: Convert to fraction form
    744.21/1,116.24 = 583.83/x
  3. Step 3: Cross multiply
    744.21x = 1,116.24 × 583.83
  4. Step 4: Simplify right side
    744.21x = 651,694.40
  5. Step 5: Solve for x
    x = 651,694.40/744.21
  6. Step 6: Final answer
    x = 875.69

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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.