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Finding the Fourth Proportional to 852.64, 1,176.77 and 538.05

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Solution

The fourth proportional to 852.64, 1,176.77 and 538.05 is: 742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.64 : 1,176.77 = 538.05 : x
  2. Step 2: Convert to fraction form
    852.64/1,176.77 = 538.05/x
  3. Step 3: Cross multiply
    852.64x = 1,176.77 × 538.05
  4. Step 4: Simplify right side
    852.64x = 633,161.10
  5. Step 5: Solve for x
    x = 633,161.10/852.64
  6. Step 6: Final answer
    x = 742.59

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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.