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Finding the Fourth Proportional to 811.79, 1,119.51 and 532.27

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Solution

The fourth proportional to 811.79, 1,119.51 and 532.27 is: 734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.79 : 1,119.51 = 532.27 : x
  2. Step 2: Convert to fraction form
    811.79/1,119.51 = 532.27/x
  3. Step 3: Cross multiply
    811.79x = 1,119.51 × 532.27
  4. Step 4: Simplify right side
    811.79x = 595,881.59
  5. Step 5: Solve for x
    x = 595,881.59/811.79
  6. Step 6: Final answer
    x = 734.03

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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.