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Finding the Fourth Proportional to 599.16, 899.02 and 451.87

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Solution

The fourth proportional to 599.16, 899.02 and 451.87 is: 678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.16 : 899.02 = 451.87 : x
  2. Step 2: Convert to fraction form
    599.16/899.02 = 451.87/x
  3. Step 3: Cross multiply
    599.16x = 899.02 × 451.87
  4. Step 4: Simplify right side
    599.16x = 406,240.38
  5. Step 5: Solve for x
    x = 406,240.38/599.16
  6. Step 6: Final answer
    x = 678.02

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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.