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Finding the Fourth Proportional to 811.74, 1,120.56 and 531.98

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Solution

The fourth proportional to 811.74, 1,120.56 and 531.98 is: 734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.74 : 1,120.56 = 531.98 : x
  2. Step 2: Convert to fraction form
    811.74/1,120.56 = 531.98/x
  3. Step 3: Cross multiply
    811.74x = 1,120.56 × 531.98
  4. Step 4: Simplify right side
    811.74x = 596,115.51
  5. Step 5: Solve for x
    x = 596,115.51/811.74
  6. Step 6: Final answer
    x = 734.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.