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Finding the Fourth Proportional to 599.41, 899.66 and 469.90

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Solution

The fourth proportional to 599.41, 899.66 and 469.90 is: 705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.41 : 899.66 = 469.90 : x
  2. Step 2: Convert to fraction form
    599.41/899.66 = 469.90/x
  3. Step 3: Cross multiply
    599.41x = 899.66 × 469.90
  4. Step 4: Simplify right side
    599.41x = 422,750.23
  5. Step 5: Solve for x
    x = 422,750.23/599.41
  6. Step 6: Final answer
    x = 705.28

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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.