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Finding the Fourth Proportional to 599.03, 897.42 and 521.07

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Solution

The fourth proportional to 599.03, 897.42 and 521.07 is: 780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.03 : 897.42 = 521.07 : x
  2. Step 2: Convert to fraction form
    599.03/897.42 = 521.07/x
  3. Step 3: Cross multiply
    599.03x = 897.42 × 521.07
  4. Step 4: Simplify right side
    599.03x = 467,618.64
  5. Step 5: Solve for x
    x = 467,618.64/599.03
  6. Step 6: Final answer
    x = 780.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.