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Finding the Fourth Proportional to 855.40, 1,180.14 and 501.23

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Solution

The fourth proportional to 855.40, 1,180.14 and 501.23 is: 691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.40 : 1,180.14 = 501.23 : x
  2. Step 2: Convert to fraction form
    855.40/1,180.14 = 501.23/x
  3. Step 3: Cross multiply
    855.40x = 1,180.14 × 501.23
  4. Step 4: Simplify right side
    855.40x = 591,518.57
  5. Step 5: Solve for x
    x = 591,518.57/855.40
  6. Step 6: Final answer
    x = 691.51

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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.