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Finding the Fourth Proportional to 597.76, 892.92 and 488.32

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Solution

The fourth proportional to 597.76, 892.92 and 488.32 is: 729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 892.92 = 488.32 : x
  2. Step 2: Convert to fraction form
    597.76/892.92 = 488.32/x
  3. Step 3: Cross multiply
    597.76x = 892.92 × 488.32
  4. Step 4: Simplify right side
    597.76x = 436,030.69
  5. Step 5: Solve for x
    x = 436,030.69/597.76
  6. Step 6: Final answer
    x = 729.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.