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Finding the Fourth Proportional to 597.25, 823.57 and 472.71

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Solution

The fourth proportional to 597.25, 823.57 and 472.71 is: 651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.25 : 823.57 = 472.71 : x
  2. Step 2: Convert to fraction form
    597.25/823.57 = 472.71/x
  3. Step 3: Cross multiply
    597.25x = 823.57 × 472.71
  4. Step 4: Simplify right side
    597.25x = 389,309.77
  5. Step 5: Solve for x
    x = 389,309.77/597.25
  6. Step 6: Final answer
    x = 651.84

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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.