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Finding the Fourth Proportional to 598.08, 820 and 591.68

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Solution

The fourth proportional to 598.08, 820 and 591.68 is: 811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 820 = 591.68 : x
  2. Step 2: Convert to fraction form
    598.08/820 = 591.68/x
  3. Step 3: Cross multiply
    598.08x = 820 × 591.68
  4. Step 4: Simplify right side
    598.08x = 485,177.60
  5. Step 5: Solve for x
    x = 485,177.60/598.08
  6. Step 6: Final answer
    x = 811.23

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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.