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Finding the Fourth Proportional to 852.43, 1,176.39 and 537.58

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Solution

The fourth proportional to 852.43, 1,176.39 and 537.58 is: 741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.43 : 1,176.39 = 537.58 : x
  2. Step 2: Convert to fraction form
    852.43/1,176.39 = 537.58/x
  3. Step 3: Cross multiply
    852.43x = 1,176.39 × 537.58
  4. Step 4: Simplify right side
    852.43x = 632,403.74
  5. Step 5: Solve for x
    x = 632,403.74/852.43
  6. Step 6: Final answer
    x = 741.88

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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.