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Finding the Fourth Proportional to 855.16, 1,180.42 and 501.20

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Solution

The fourth proportional to 855.16, 1,180.42 and 501.20 is: 691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.16 : 1,180.42 = 501.20 : x
  2. Step 2: Convert to fraction form
    855.16/1,180.42 = 501.20/x
  3. Step 3: Cross multiply
    855.16x = 1,180.42 × 501.20
  4. Step 4: Simplify right side
    855.16x = 591,618.10
  5. Step 5: Solve for x
    x = 591,618.10/855.16
  6. Step 6: Final answer
    x = 691.82

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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.