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Finding the Fourth Proportional to 611.68, 838.16 and 591.52

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Solution

The fourth proportional to 611.68, 838.16 and 591.52 is: 810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.68 : 838.16 = 591.52 : x
  2. Step 2: Convert to fraction form
    611.68/838.16 = 591.52/x
  3. Step 3: Cross multiply
    611.68x = 838.16 × 591.52
  4. Step 4: Simplify right side
    611.68x = 495,788.40
  5. Step 5: Solve for x
    x = 495,788.40/611.68
  6. Step 6: Final answer
    x = 810.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.