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Finding the Fourth Proportional to 599.84, 828.50 and 433.78

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Solution

The fourth proportional to 599.84, 828.50 and 433.78 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 828.50 = 433.78 : x
  2. Step 2: Convert to fraction form
    599.84/828.50 = 433.78/x
  3. Step 3: Cross multiply
    599.84x = 828.50 × 433.78
  4. Step 4: Simplify right side
    599.84x = 359,386.73
  5. Step 5: Solve for x
    x = 359,386.73/599.84
  6. Step 6: Final answer
    x = 599.14

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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.