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Finding the Fourth Proportional to 652.61, 899.21 and 573.32

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Solution

The fourth proportional to 652.61, 899.21 and 573.32 is: 789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.61 : 899.21 = 573.32 : x
  2. Step 2: Convert to fraction form
    652.61/899.21 = 573.32/x
  3. Step 3: Cross multiply
    652.61x = 899.21 × 573.32
  4. Step 4: Simplify right side
    652.61x = 515,527.71
  5. Step 5: Solve for x
    x = 515,527.71/652.61
  6. Step 6: Final answer
    x = 789.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.