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Finding the Fourth Proportional to 599.90, 902.07 and 578.03

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Solution

The fourth proportional to 599.90, 902.07 and 578.03 is: 869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.90 : 902.07 = 578.03 : x
  2. Step 2: Convert to fraction form
    599.90/902.07 = 578.03/x
  3. Step 3: Cross multiply
    599.90x = 902.07 × 578.03
  4. Step 4: Simplify right side
    599.90x = 521,419.01
  5. Step 5: Solve for x
    x = 521,419.01/599.90
  6. Step 6: Final answer
    x = 869.18

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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.