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Finding the Fourth Proportional to 598.56, 823.93 and 520.80

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Solution

The fourth proportional to 598.56, 823.93 and 520.80 is: 716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 823.93 = 520.80 : x
  2. Step 2: Convert to fraction form
    598.56/823.93 = 520.80/x
  3. Step 3: Cross multiply
    598.56x = 823.93 × 520.80
  4. Step 4: Simplify right side
    598.56x = 429,102.74
  5. Step 5: Solve for x
    x = 429,102.74/598.56
  6. Step 6: Final answer
    x = 716.89

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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.