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Finding the Fourth Proportional to 852.35, 1,176.70 and 574.05

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Solution

The fourth proportional to 852.35, 1,176.70 and 574.05 is: 792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.35 : 1,176.70 = 574.05 : x
  2. Step 2: Convert to fraction form
    852.35/1,176.70 = 574.05/x
  3. Step 3: Cross multiply
    852.35x = 1,176.70 × 574.05
  4. Step 4: Simplify right side
    852.35x = 675,483.20
  5. Step 5: Solve for x
    x = 675,483.20/852.35
  6. Step 6: Final answer
    x = 792.49

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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.