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Finding the Fourth Proportional to 599.82, 895.50 and 513.18

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Solution

The fourth proportional to 599.82, 895.50 and 513.18 is: 766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.82 : 895.50 = 513.18 : x
  2. Step 2: Convert to fraction form
    599.82/895.50 = 513.18/x
  3. Step 3: Cross multiply
    599.82x = 895.50 × 513.18
  4. Step 4: Simplify right side
    599.82x = 459,552.69
  5. Step 5: Solve for x
    x = 459,552.69/599.82
  6. Step 6: Final answer
    x = 766.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.