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Finding the Fourth Proportional to 598.86, 899.22 and 573.90

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Solution

The fourth proportional to 598.86, 899.22 and 573.90 is: 861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 899.22 = 573.90 : x
  2. Step 2: Convert to fraction form
    598.86/899.22 = 573.90/x
  3. Step 3: Cross multiply
    598.86x = 899.22 × 573.90
  4. Step 4: Simplify right side
    598.86x = 516,062.36
  5. Step 5: Solve for x
    x = 516,062.36/598.86
  6. Step 6: Final answer
    x = 861.74

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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.