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Finding the Fourth Proportional to 532.58, 797.85 and 446.46

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Solution

The fourth proportional to 532.58, 797.85 and 446.46 is: 668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.58 : 797.85 = 446.46 : x
  2. Step 2: Convert to fraction form
    532.58/797.85 = 446.46/x
  3. Step 3: Cross multiply
    532.58x = 797.85 × 446.46
  4. Step 4: Simplify right side
    532.58x = 356,208.11
  5. Step 5: Solve for x
    x = 356,208.11/532.58
  6. Step 6: Final answer
    x = 668.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.