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Finding the Fourth Proportional to 598.20, 823.68 and 515.16

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Solution

The fourth proportional to 598.20, 823.68 and 515.16 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.20 : 823.68 = 515.16 : x
  2. Step 2: Convert to fraction form
    598.20/823.68 = 515.16/x
  3. Step 3: Cross multiply
    598.20x = 823.68 × 515.16
  4. Step 4: Simplify right side
    598.20x = 424,326.99
  5. Step 5: Solve for x
    x = 424,326.99/598.20
  6. Step 6: Final answer
    x = 709.34

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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.