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Finding the Fourth Proportional to 599.67, 902.21 and 545.90

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Solution

The fourth proportional to 599.67, 902.21 and 545.90 is: 821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 902.21 = 545.90 : x
  2. Step 2: Convert to fraction form
    599.67/902.21 = 545.90/x
  3. Step 3: Cross multiply
    599.67x = 902.21 × 545.90
  4. Step 4: Simplify right side
    599.67x = 492,509.20
  5. Step 5: Solve for x
    x = 492,509.20/599.67
  6. Step 6: Final answer
    x = 821.30

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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.