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Finding the Fourth Proportional to 611.87, 914.28 and 502.25

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Solution

The fourth proportional to 611.87, 914.28 and 502.25 is: 750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.87 : 914.28 = 502.25 : x
  2. Step 2: Convert to fraction form
    611.87/914.28 = 502.25/x
  3. Step 3: Cross multiply
    611.87x = 914.28 × 502.25
  4. Step 4: Simplify right side
    611.87x = 459,197.13
  5. Step 5: Solve for x
    x = 459,197.13/611.87
  6. Step 6: Final answer
    x = 750.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.