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Finding the Fourth Proportional to 843.95, 1,164.80 and 507.88

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Solution

The fourth proportional to 843.95, 1,164.80 and 507.88 is: 700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.95 : 1,164.80 = 507.88 : x
  2. Step 2: Convert to fraction form
    843.95/1,164.80 = 507.88/x
  3. Step 3: Cross multiply
    843.95x = 1,164.80 × 507.88
  4. Step 4: Simplify right side
    843.95x = 591,578.62
  5. Step 5: Solve for x
    x = 591,578.62/843.95
  6. Step 6: Final answer
    x = 700.96

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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.