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Finding the Fourth Proportional to 606.66, 838.22 and 591.10

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Solution

The fourth proportional to 606.66, 838.22 and 591.10 is: 816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.66 : 838.22 = 591.10 : x
  2. Step 2: Convert to fraction form
    606.66/838.22 = 591.10/x
  3. Step 3: Cross multiply
    606.66x = 838.22 × 591.10
  4. Step 4: Simplify right side
    606.66x = 495,471.84
  5. Step 5: Solve for x
    x = 495,471.84/606.66
  6. Step 6: Final answer
    x = 816.72

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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.