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Finding the Fourth Proportional to 598.96, 824.61 and 515.98

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Solution

The fourth proportional to 598.96, 824.61 and 515.98 is: 710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.96 : 824.61 = 515.98 : x
  2. Step 2: Convert to fraction form
    598.96/824.61 = 515.98/x
  3. Step 3: Cross multiply
    598.96x = 824.61 × 515.98
  4. Step 4: Simplify right side
    598.96x = 425,482.27
  5. Step 5: Solve for x
    x = 425,482.27/598.96
  6. Step 6: Final answer
    x = 710.37

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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.