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Finding the Fourth Proportional to 855.14, 1,180.10 and 500.98

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Solution

The fourth proportional to 855.14, 1,180.10 and 500.98 is: 691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.14 : 1,180.10 = 500.98 : x
  2. Step 2: Convert to fraction form
    855.14/1,180.10 = 500.98/x
  3. Step 3: Cross multiply
    855.14x = 1,180.10 × 500.98
  4. Step 4: Simplify right side
    855.14x = 591,203.99
  5. Step 5: Solve for x
    x = 591,203.99/855.14
  6. Step 6: Final answer
    x = 691.36

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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.